Mathematics High School

The polynomial 2x³ + qx² + rx + 2 has a
factor (x - 1) and leaves a remainder of
12 when divided by (x - 2). Find the
constants q and r and hence the other
factors of the polynomial.​

Answers

Answer 1

Answer:

q = 1 , r = -5

other factors of polynomial:

(2x - 1) & (x + 2)

Step-by-step explanation:

In the first part, substitute x = 1 make it equal to 0.

Substitute x = 2 and make it equal to 12.

Rearrange both, until you have two linear equations.

Solve the set of simultaneous equation to find q and r .

Second part place the value of q and r to have the full polynomial.

Carry out long division, dividing the polynomial by the factor that's stated in the question (x - 1) and you will have a quadratic equation.

Factorise the quadratic equation to have the two other factors of the polynomial.

Hope this helps:))

The Polynomial 2x + Qx + Rx + 2 Has Afactor (x - 1) And Leaves A Remainder Of12 When Divided By (x -
The Polynomial 2x + Qx + Rx + 2 Has Afactor (x - 1) And Leaves A Remainder Of12 When Divided By (x -

Related Questions

What is value of x?

PLZ HELP

Enter your answer in the box.

x = ?
A triangle with vertices labeled as A, B, and C. Side B C is the base. A line segment is drawn from vertex A to base B C that bisects angle B A C into two parts marked with single arcs. Side A B is labeled as x plus 8. Side A C is labeled as 2 x minus 5. Side B C is divided into two parts labeled as 10 and 14.

Answers

X=27
Hopefully this helped

Answer:

27

Step-by-step explanation:

Verified correct with test results.

what is the answer to
[tex] \frac{v}{8} = 10[/tex]
​

Answers

Answer:

80

Step-by-step explanation:

[tex]\frac{v}{8} =10\\v=10*8\\v=80[/tex]

V/8 = 10
10 * 8 = V
80 = V

So, in conclusion, V is equal to 80.

What is the value of x ?

Answers

X is going to equal 2.75
x = 2.5


Explanation:
it just is

1 3/5 + 2/3=?????????????????????

Answers

Answer:

2.26666666667 is the answer

What percent is represented by the shaded area?

Answers

Answer:

30%

Step-by-step explanation:

There are 6 shaded squares out of 20 squares. That is the same as 30 out of 100. 30/100=30%

Answer: 30%

Step-by-step explanation:

5*4 is 20.

So that your area.

6/20 converted to percentage: 30%

What is the nth term for 12, 13, 14, 15?

Answers

Answer:

The 5th term is 16

Step-by-step explanation:

Given data

a= 12

say we want to find the fifth term

n=5

d= 1

The expression for the nth term given as

an = a + (n – 1) × d

Substitute

an= 12+(5-1)1

an= 12+4

an= 16

What is the volume, in cubic inches, of the prism

Answers

Answer:

volume = 130 in ^3

Step-by-step explanation:

volume = 5x8x3.25 = 130 in ^3

A = 4.5 centimeters, B = 6 centimeters

Answers

Answer:

Question is not clear dude..

Can you make it clear so that I could've answered..

pls answer soon thx!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is C, since some shift differently on the x axis

C
the answer is c ....

If d - 10. r
HELP PLZZZZ I Hsave to submit soonnnnnn

Answers

Answer:

d/2 = r if you are talking about circles, if that's the case then the r would be 5

Can someone help me with b it’s wrong :(

Answers

Answer:

0.933333 as decimal and its 93.33333% in percent

Step-by-step explanation:

Answer:

b) The result can be shown in multiple forms.

Exact Form:

[tex]\frac{26}{3}[/tex]

Decimal Form:

8.¯6

Step-by-step explanation:

If a cone is 6 inches tall and has a radius of 4 inches. What is its volume?

Answers

Answer:

100.53

Step-by-step explanation:

Following the formula, V=πr2h 3, you would get 100.53 with 6 as the height and 4 as the radius.

$5 for 4 pounds of apples how much does 1 pound cost

Answers

Answer:

$1.25

Step-by-step explanation:

5 dollars for four pounds

one pound = $5 / 4 = $1.25

Answer: 80 cents

Step-by-step explanation: Divide 4 & 5 and get 0.8

To check your answer just multiply 0.8 and 5 which equals 4

So 1 lb cost 80 cents

4. Find f(2) if f(x) = 2x + 1.

Answers

Answer:

X= .5 (decimal form)

X= 1/2 (Exact form)

Answer: 5

Work Shown:

f(x) = 2x+1

f(2) = 2*2+1 ... x has been replaced with 2

f(2) = 4+1

f(2) = 5

The input is x = 2. The output is y = 5.

This question is worth 20 points !!!

Answers

Answer:

A

Step-by-step explanation:

give me da 20 pointssss

Answer:

What on my screen the pic is blurry?

Step-by-step explanation:

a super market sells 2 cans of ground coffee for $18.50. The cost of coffee varies directly with the number of cans.How much do 5 cans of coffee cost?

Answers

Answer:

46.25

Step-by-step explanation:

18.50/2=9.25

9.25x5=46.25

I hope this helps :)

the product of lisa and her twin brothers is 36 and their sum is 13 how old can lisa be

Answers

Answer:

Lisa is 23 years old.

Step-by-step explanation:

36 (total) - 13 (brothers age) = 23 (Lisa's age)

23+13=36

Given △ FDR≅△ TGH, what is the value of x? Please make sure to show all your work.

(please help me)

Answers

2x+6=8x-30
(add 30)
2x+36=8x
(subtract 2x)
36=6x
(divide by 6)
6=x

Answer:

x = 6

Step-by-step explanation:

Since triangle FDR is congruent to triangle TGH, you will put them to equal each other and solve for x.

triangle FDR = 2x + 6

triangle TGH = 8x - 30

2x + 6 = 8x - 30

2x + 6 - 6 = 8x - 30 - 6

2x = 8x - 36

2x - 8x = 8x - 8x - 36

-6x = -36

-6x / - 6 = -36 / -6

x = 6

Now that you have find x, we will check if the statement is true that triangle FDR is congruent to triangle TGH. Plug 6 in the x place.

triangle FDR :-

2x + 6

2(6) + 6

12 + 6

18

triangle TGH :-

8x - 30

8(6) - 30

48 - 30

18

So this makes the statement true that triangle FDR is congruent to triangle TGH. Hope this helps, thank you :) !!

PLS HELP ILL GIVE BRAINLIEST (SAT Prep) Find the value of x

Answers

Answer:

x = 24

Step-by-step explanation:

Act like it one triangle that has angle 94 and 41 but not the corner

all 3 angle of a triangkle equal 180

so to fine the missing corner you sub tract 180 by 94 and 41 (45)

Now that we know that angle we can find x for the small angle

180 - (111 + 45) = 24

i have 8 mins to turn this in, what’s the answer?? thanks :)

Answers

Answer:

i think b???

Step-by-step explanation:

Answer:x=10 y= 10 square root 2

Step-by-step explanation:

Someone please help me with this it’s due today I have to write a statement of how I determined the answer for number 1 too please y’all

Answers

Answer:

The Answer Is A.

How I Found The Answer:

4 - 1 = 3

X Comes Before Y In Pairs.

Answer:

wouldn't it be A?

Step-by-step explanation:

3+1=4

3x+1y=4

¿Cómo es esto?, Plisssssssssss ayuda

Answers

Answer

I think it is number 5

Step-by-step explanation:

Solve the equation 3(x-4)=12x

Answers

Answer:

X= -4/3

Step-by-step explanation:

Help. Please what is
3^3-17
and show how you got the answer​

Answers

10

Step-by-step explanation:

3*3 = 9.

9*3 = 27.

27-17 = 10.

Answer:

To solve this problem, we have to remember PEMDAS, which states the order of operations.

We see that we have to simplify the exponents before we add or subtract so we have:

3^3-17

3(3)(3)-17 <-- Remember that 3^3 is equal to 3 times 3 times 3

27-17

10

So, 10 would be your answer.

Let me know if this helps!

Someone please answer correctly

Answers

Answer:

13

Step-by-step explanation:

It is a parallelogram so the opposite angles are the same.

All angles sum to 360 degrees.

This means that the adjacent angles sum to 180 degrees.

4a + 11 + 9a = 180 = 13a + 11

13a = 169

a=13

HELPHELELWLPLS HELP MEEEEEEEEE

Answers

Answer:

49

Step-by-step explanation:

First plug in 7 for x and solve

7(14-7)

7(7)

49

Answer:

its 49 make me brainiest

Step-by-step explanation:

14-x you get rid of the x and turn it in to 7. 14-7= 7 so then you multiply 7 with 7

can some one help me please what is %75 to $25

Answers

The answer you are looking for is .

To find this answer, you first make 75% into a decimal. To do so, simply divide 75 by 100 to get 0.75. Finally, you multiply 0.75 to 25. This will give you 1875 which you add a decimal point between the 8 and the 7, because .75 has 2 digits behind the decimal (as should the answer. Thus getting 18.75 as an answer. Here's an image to show the multiplication of 0.75 and 25.

I hope this helps!!

What's the product of (3x2 + 7)(6x2 – 4x + 5).

Answers

Answer:

169 is the answer

Step-by-step explanation:

............

Jordan walks 250 m North towards school. He forgets his backpack and walks 250 m South back to his house. He then finds his backpack and walks 900 m North. He gets to school in 9 minutes. What is his velocity in meters per minute

Answers

Answer:

10 m / minute

Step-by-step explanation:

Starting position = North ; back to North gives a Displacement of 0 ; the from that position to 900 m south gives a final Displacement of 900

Displacement / time

Displacement = 900

Time = 9 minutes

900 / 9

= 10 m / minute

Answer plz it would help me alot

Answers

i) (3^6/3^8)^4•3^-4
3^24/3^32•3^-4
All the bases are the same so you can rid of them.
24/32•-4
.75•-4=-3
=1/3^1
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