Question

How do you use synthetic division to verify that `x=2` is a zero for the function `y = x^3 - 7x +6`?

Answer 1

Explanation is below.

Explanation:

`x^3-7x+6`

=`x^3-2x^2+2x^2-4x-3x+6`

=`x^2*(x-2)+2x*(x-2)-3*(x-2)`

=`(x-2)*(x^2+2x-3)`

Hence `x=2` is zero of `x^3-7x+6`