Question

Determine if (x-3) is a factor of (x^4-13x^2+36) using synthetic division

Answer 1

Yes, (x-3) is a factor of (x^4-13x^2+36) using synthetic division.

Synthetic division:

| x -3 |

x^4 -13x^2+36

x^3 -10x^2+27x-108

The remainder is zero, so (x-3) is a factor of the polynomial (x^4-13x^2+36).

Explanation: