Question

Use synthetic division to determine whether the first expression is a factor of the second

Answer 1

To do the synthetic division we need to use the coefficients of the polynomial:

$4x^3-3x^2-7x+6$

which are: 4, -3, -7, and 6, and the zero of the next polynomial:

$x-2$

which is 2.

Synthetic division

Given that the remainder, 12, is not zero, then (x - 2) is not a factor of the degree 3 polynomial.