find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)

Answers

Answer 1

Answer:

p = -4 q = 2

Step-by-step explanation:

Expand the brackets ( yes the entire thing).group together the values with same co-effiecients; like (q+p)x^3 etc etc.equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].sub in this value for the [x^3] equation and ull get an answer for p [p= -4].

hope my explanation is understandable lol


Related Questions

A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
containing 5 tuna cans? Round your answer to the nearest whole number

Answers

Using the formula v = pi x r^2 x h

pi x 18.0625 x 4

You will get the answer= 72.25pi

and rounded you get

=

72pl

PLEASE HELP ME,!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
Question options:

A)

2(9x + 4) = 86 – 12x – 18

B)

–2(9x + 4) = 12x + 18 – 86

C)

x = 2

D)

86 – 18x – 8 = 12x + 18

Answers

Answer:

D

Step-by-step explanation:

Answer: D) 86 - 18x - 8 = 12x + 18

The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?

Answers

Answer:

16units

Step-by-step explanation:

Given data

The expression for the volume of a cone is given as

v=1/3πr^2h

v= 3π

r= 12

h=???

Substitute

3π= 1/3*π*12^2*h

3= 1/3*144*h

3= 144h/3

cross multiply

3*3= 144h

9= 144h

h= 144/9

h=16 units

Hence the heeight is 16units

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??​

Answers

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

This is volume of spheres.
Can anyone give me this step by step?
Due tonight..

Answers

Answer:

Step-by-step explanation:

4/3(pi)(r)^3

4/3(pi)(0.8m)^3   (converted the cm to m)

then you can simplify it based on wither the answer is in Number*pi or just a number.

Hope this helps!

Sophia needs to know the area and perimeter of his property. The length of his property is 1/5 mile and the width is 3/8 mile. What is the perimeter of Sophia's property?

Answers

Answer:

See the answers below

Step-by-step explanation:

Given data

Length = 1/5mile

Width= 3/8 mile

The expression for the perimeter

P=2L+2W

Substitute

P=2*1/5+ 2* 3/8

P= 2/5+6/8

P= 16+30/40

P=46/40

P= 23/40 miles

Area= Length *Width

Area= 1/5* 3/8

Area= 3/40 square miles

which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0​

Answers

Answer:

answer in the file

Step-by-step explanation:

Which of the following pieces of information could you use to conclude that
trapezoid ABCD is similar to trapezoid WXYZ?
pls help !

Answers

Side WX = 3
The fourth one will be the answer

It’s like a ratio method

The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?

Answers

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?

Answers

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

Use SSS to explain why ABC = CDA are congruent !!!!!!!! Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!

Answers

Answer:

ABC=CDA because AB is congruent to CD and AC=AC and DA=AB

I hope this is what you were looking for

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

Complete the table of values for y = 0.5x + 1
can you help? ​

Answers

hope the answer can help you.

Answer:

x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2

If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

HELP plsss if I don’t answer this I can’t go to lunch

Answers

7/g This is the correct answer to your problem

99% of 71.6 is what?

Answers

Answer: 70.884

Step-by-step explanation:

Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)

Answers

Answer:

(x−2)^2=16(y+1)

Step-by-step explanation:

The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The vertex of the parabola = (2, -1)

The focus of the parabola = (2, 3)

As we know, the vertex form of the parabola is given by:

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 2)² = 4a(y - (-1))

(x - 2)² = 4a(y + 1)

The value of a can be found using the formula:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

(c, d) = (2, 3)

a = √[(2-2)² + (3-(-1))²]

a = √ (3+1)²]

a = 4

(x - 2)² = 4(4)(y + 1)

(x - 2)² = 16(y + 1)

Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

PLEASE HELP ASAP
Find the surface area and the volume of the prism.

Answers

Answer:

Surface Area: 1320

Volume: 2160

Step-by-step explanation:

Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]

where c is the hypotenuse, 26.

Substituting the values into the equation you get:

10^2 + b^2 = 26^2

100 +b^2 = 676

Subtract 100 from both sides.

b^2 = 576

b = 24

Now that we have the missing side, we can calculate the rest of the question.

Surface Area =  2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24)  +(18 × 10)

240 + 468 + 432 + 180 = 1320 unit^2

Volume = [tex]\frac{1}2[/tex] × base × height × length

[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2

Brainliest if you don't mind ;)

Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks

Answers

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

PLZ HELP ME GUYS PLZ​

Answers

Answer:

y=2x+3

x=(-1)

y=-5x+6

x=1

Step-by-step explanation:

Just find x in the equation

What is the difference in length between

Answers

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

A Scale model of a building is 12 inches tall. The actual building is 160 feet tall. What is the scale factor of the model write your answer as a fraction and simplest form

Answers

Answer:

133/10

Step-by-step explanation:

divide 160 and 12 then simplify your answer

The scale factor of the model is 0.075.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

We are given that Scale model of a building is 12 inches tall. The actual building is 160 feet tall.

First, we need to multiply 160 by 12 so that we have inches and inches

160 inches

Then divide 160 by 12 and that will give, 12 which is the scale factor

The scale factor is:

12/160=3/40

=0.075

Learn more about scale factor here:

https://brainly.com/question/11178083

#SPJ6

PLEADE HELP I WILL MARK YOU AS BRAINEIST

Answers

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro​

Answers

Answer:

its 44

Step-by-step explanation:

because IRS 444 j utf d funk nhc ddh

pls helppp! tysmmmm!!

Answers

I believe it would be 29 because a supplementary angle is 2 angles that equal 180 so I would think to do 189-151=29

please help, I’m struggling!

Answers

Answer:

the answer is a . I hope it helps

hello. Someone help me solve all these. Will mark as brainliest. Thanks

Answers

Answer:

number 19 is letter B.hence express P(x) as the product of it's linear factors

A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?​

Answers

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

graph g(x)=− 51 (x+5) ^2 − 2

Answers

Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

5

,

1

)

Focus:  

(

5

,

9

8

)

Axis of Symmetry:  

x

=

5

Directrix:  

y

=

7

8

x

y

3

9

4

3

5

1

6

3

7

9  

hey can you help me fast!!

Answers

Answer: Its the first one

Explanation:Yes because it is trust me yes

I think it is the first one
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