Question

Given a polynomial and one of its factors, find the remaining factors of the polynomial. Some of the factors may not be binomials. 4x^3-32^2-81x+648;x-8

Answer 1

@carhapy2 We have the information that x-8 is one of the factors of
\[4x^3-32x^2-81x+648\]

Let's create this factor here in equation and bring it out. Do you follow

Answer 2

yes

Answer 3

We will start from left side
\[4x^3-32x^2-81x+648\]
I will bring x-8 factor now
\[4x^2(x-8)-32x^2-81x+648\]
If you notice, I have added an extra -32x^2, so I need to a +32 x^2 to balance
\[4x^2(x-8)+32x^2-32x^2-81x+648\]
so we get
\[4x^2(x-8)-81x+648\]
do you follow