anyone know this??? please help, help!!! thanks!

Given Polynomial P(x) = x^3+4x^2-px+8

Given that P(x) is exactly divisible by (x-2) then by

factor theorem it is a factor and P(2) = 0

⇛ (2)^3+4(2)^2-p(2)+8 = 0

⇛8+4(4)-2p+8 = 0

⇛ 8+16-2p+8 = 0

⇛ 32-2p = 0

⇛32 = 2p

⇛ 2p = 32

⇛ p = 32/2

⇛ p = 16

Answer:- The value of p is 16.

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Similar Questions

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...

https://brainly.com/question/12852511?referrer

Answer:

16.

Step-by-step explanation:

By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:

f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0

-2p + 32 = 0

p = 16.

Answer:

First side is 15 m.

Second side is 13 m.

Third side is 21 m.

Step-by-step explanation:

Let x be the second side of the triangle = x

The first side of a triangle is 2 longer than the second side = x + 2

The third side is 5 shorter than twice the second side. = 2x - 5

Perimeter = 49 m

The formula for finding the perimeter of triangle is:

P = a + b + c

Put the values in the formula

49 = x + x + 2 + 2x - 5

49 = 4x - 3

Use APE or Addition Property of Equality

49 + 3 = 4x

52 = 4x

Use DPE or Division Property of Equality to find the value of x

[tex]\frac{52}{4} = \frac{4x}{4}[/tex]

13 = x

Now put the value of x in the equation

First side( x + 2) = 13 + 2 = 15

Second side( x ) = 13

Third side (2x - 5) =

2(13) - 5

26 - 5

= 21

Answer:

Step-by-step explanation:

All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.

Answer:

√101 (square root of 101)

Step-by-step explanation:

Irrational numbers are numbers that can't be written as fractions.

The square root of 101 is irrational because it is not a perfect square which means that it has an infinite amount of numbers after the decimal point. Because of this the square root of 101 cannot be expressed as a fraction.

Answer:

hope it helps

Step-by-step explanation:

[tex]\\ \sf\longmapsto y+4=2y-15[/tex]

[tex]\\ \sf\longmapsto 2y-y=19[/tex]

[tex]\\ \sf\longmapsto y=19[/tex]

[tex]\\ \sf\longmapsto 2x-3=5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Diagram attached

Answer:

y = -(5/6)x + 0.917

Step-by-step explanation:

We can calculate a slope with the two given points:

(-2.5,3) and (3.5,-2)

Rise (change in y) = -2 - (3) = -5

Run (change in x) = 3.5 - (-2.5) = 6.0

Slope = Rise/Run = -5/6

The line has the following form:

y = -(5/6)x + b

We can find b, the y-intercept, by using one of the two points in the equation and then solve for b.  I'll choose (-2.5,3):

y = -(5/6)x + b

3 = -(5/6)*(-2.5) + b

3 = 2.083 + b

b = 0.917

y = -(5/6)x + 0.917

Answer:

10

Step-by-step explanation:

Increasing order:-

Range = Highest term - Lowest term

Range = 100 - 90

Range = 10

Hence,

Range of the given term is 10

Answer:

Step-by-step explanation:

The data set in ascending order:

It has min = 90, max = 100

The range is the difference between min and max:

Answer:

HI!!!

Step-by-step explanation:

Answer:

The answer is 3. 2x - 5y = 15

Step-by-step explanation:

Answer:

33/2 or

Step-by-step explanation:

2x−7

4

=

x+3

3

(2x−7)*(3)=(x+3)*(4)

6x−21=4x+12

Step 2: Subtract 4x from both sides.

6x−21−4x=4x+12−4x

2x−21=12

Step 3: Add 21 to both sides.

2x−21+21=12+21

2x=33

Step 4: Divide both sides by 2.

2x/2

=

33/2

x=

33/2

Answer:

  x = 33/2 = 16 1/2

Step-by-step explanation:

You can clear fractions first, or you can work with the fractions as is.

  (2x -7)/4 = (x +3)/3

  2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses

  (1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x

  1/6x = 11/4 . . . . . . . . . . . simplify

  x = 66/4 = 33/2  . . . . . multiply by 6, reduce the fraction

Answer:

-2x, x, 5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.

3xy

It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".

3

This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.

7y

Seven has a y, which is different from an x.

Answer:

They do not make triangles.

Step-by-step explanation:

You automatically know that c is going to be the biggest number of each triangle since it is the largest side. So you would use both of these formulas:

a² + b² = c²

[tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]7^{2}[/tex] which is false

10² + 12² = 14² is false as well

Hope this helps!!

Answer:

c

Step-by-step explanation:

c represents adding 5 and n together, and multiplying it by four.

Four times the sum of five and a number equivalent expression is 4(5 + n) which is the correct answer would be an option (C).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs arithmetic operations is called arithmetic operator.

Operators let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Let the number be n

To determine the four times the sum of five and a number

The sum of five and a number as

⇒ 5 + n

So, four times the sum of five and a number as

⇒ 4*(5 + n)

Hence, four times the sum of five and a number equivalent expression is  4(5 + n).

Learn more about the expressions here :

brainly.com/question/21751419

#SPJ2

Answer:

20%Discount price is 14800

Then 5%Discount price of the new price is 14060

14060 is the answer

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

[tex]\frac{600}{18}[/tex] = k

[tex]\frac{100}{3}[/tex] = k

c = [tex]\frac{100a}{3b}[/tex] ← equation of variation

When a = 36 and b = 25 , then

c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48

Answer:

39

Step-by-step explanation:

The inside of a triangle adds up to 180:

90 because that square box is 90 degrees

90+50=141

180-141=39

Answer:

55 degrees

Step-by-step explanation:

if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55

Answer: Varies

Step-by-step explanation:

There would still be some Xs and Ys.

The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Since y = f(x) = 0.9sin(πx/2)

We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m

So, y = f(x) = 0.9sin(πx/2)

0.5 = 0.9sin(πx/2)

Dividing through by 0.9, we have

0.5/0.9 = sin(πx/2)

5/9 = sin(πx/2)

Taking inverse sine of both sides, we have

sin⁻¹(5/9) = πx/2

sin⁻¹(0.5556) = πx/2

0.589 rad = πx/2

x = 2 × 0.589/π

x = 1.178/π

x  = 0.375 s

Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...

So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Learn more about sine function here:

https://brainly.com/question/12102275

Answer:

203 i just did it

Step-by-step explanation:

Answer:

the answer is 203

Step-by-step explanation:

Just got it right on edge 22

Answer:

6

Step-by-step explanation:

this is so simple brother

Answer:

The cube root of 8x27 is 54

Step-by-step explanation:

Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of  (1×2)+(2×3)+(3×4)+(4×5)+(5×6)

Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.

Half of 56 ft

= ½ × 56

= 56/2

= 28 ft

Half of 56 mm

= ½ × 56

= 56/2

= 28 mm

_______

Hope it helps ⚜:))

Answer: 16.308

Step-by-step explanation:brainiest please

18 ( 1 + X )

sorry if my answer wrong

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

Answer:

5 hours

Step-by-step explanation:

15 times 5 is 75 plus 25 is 100

20 times 5 is also 100

Answer:

1/3 is less than 1

Step-by-step explanation:

3/3=1

1/3<1

mhorn seems to be correct

Step-by-step explanation:

yshahaa

Answer:

Y

Step-by-step explanation:

Because the direct variables are plus twenty five

Answer:

Below

Step-by-step explanation:

Dividing by prime numbers :

2 | 10500

2 |   5250

3 |    2625  

5 |       875

5 |        175

5 |          35

                7.

So 10500 = 2*2*3*5*5*5*7

To find the smallest positive cube  we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's

That is P = 2*3*3*7*7 =  882.

The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.

Answer:

(2-c)=d

Step-by-step explanation:

completing the square

hope it can help you lovelots