Write the slope- intercept form of the equation

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:

45

Step-by-step explanation:

-5(-12)+(-15)

--> Multiply -5 and -12 to get 60

60-15

--> Subtract 15 from 60 to get 45

Hope this helps you!

Answer:

1. 20

2.19

ok that will help you

Answer:

It's a matter of opinion. In my opinion you can hypothesize all you want, when  you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.

Step-by-step explanation:

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

Answer:

b/2-15

or

-15+1/2b

or

b:2-15

Step-by-step explanation:

which expression is equivalent to 1/2b-15

b/2-15

or

-15+1/2b

or

b:2-15

Answer:

20.63%

Step-by-step explanation:

189-20.63%=150,0093

Answer:

20.63%

Step-by-step explanation:

% change = (New Value - Initial Value)/(Initial Value) * 100

                 = (150-189)/189 * 100

                 = -20.63%

Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.

Hopefully this helps!!

Answer:

4.38, aka 219/50

Step-by-step explanation:

Answer:

80 square units

Step-by-step explanation:

I am in a rush so this might not be right but probably is

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

x=31/14

Step-by-step explanation:

I did the second one btw

Answer:

probably 2.............

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x

Answer:

1. 3 tacos per person

2. 8 chairs per table

3. 6 avocados per bag

Step-by-step explanation:

1. Divide 45 by 15 to get the unit rate: # of taco per person.

45 = 15x

45/15 = 15x/15

3 = x

3 tacos per person

2. Divide 72 by 9 to get the unit rate: # of chairs per table.

72 = 9x

72/9 = 9x/9

8 = x

8 chairs per table

3.  Divide 42 by 7 to get the unit rate: # of avocados per bag.

42 = 7x

42/7 = 7x/7

6 = x

6 avocados per bag

Answer:

the measurement of a is 60°............

Answer:

A=60

Step-by-step explanation:

it adds up to 180 so subtract 30 and 90 for the right angle and you got 60

Answer:

10

Step-by-step explanation:

10 10 10 1010 10 101 10 10 1o

Answer:

A

-by-step explanation:

i have that exact question

Answer:

S = { H,T }

Step-by-step explanation:

Sample space is these two outcomes

Step-by-step explanation:

If [tex]s=\frac{1}{2}[/tex], then:

[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]

The number 4S equals if S = 1/2 is 2, 4S = 2.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

S = 1 / 2

Calculate the value of 4S as shown below,

4 × S = 4 × 1 / 2

4S = 2

Thus, 4S = 2

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ2

Answer:

C, you chose the correct answer! Good job. ¯\_(ツ)_/¯

Step-by-step explanation:

3÷[tex]\frac{2}{3}=3[/tex]

Mark brainliest if possible, it's always appreciated. ¯\_(ツ)_/¯

Hope this helps!

-❤AbqveNatural❤

Answer:

e

Step-by-step explanation:

e

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!

Answer:

-7

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-1-6/2-1

-7/1

= -7

the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+

Answer:

7/8

Step-by-step explanation:

1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8

Answer:

0.875

Step-by-step explanation:

To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.

With that being said, let's begin.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Simply add 8.

11: 11, 22, 33, 44, 55, 66, 77, 88

Simply add 11.

The greatest common factor of 8 and 11 is 88.

Answer:

Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.

Answer:

Yes

Step-by-step explanation:

f = 24/w

Just plug in each one, would only be an error if denominator would = 0