Question

Find value of p such that (x-1) is a factor of polynomial x3 + 10x2 +px

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Hey there buddy

Step-by-step explanation:

We need to find the value of 'p' in this equation, for that we first need to find the value of x, so that we can substitute it and easily find the value of p

x-1=0

1-1=0

∴, x=1

Now to substitute (1) in the equation

$1^3 + 10(1)^2 + p(1)$

Now we get,

1 + 10 + p

Now the questions says that (x-1) is a factor and factor means it is divisible by the number

So we can write the equation as

1 + 10 + p= 0

Now we get,

11 + p = 0

Taking the constant to the other side of the equation changes its symbol

Therefore we get,

p= -11

Hope this solution helps you