Question

Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial. X-3; 2x^2-4x+30

Answer 1

see explanation

Explanation:

If x - 3 is a factor then x = 3 is a root and the value of the polynomial should be zero for x = 3

2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

hence x - 3 is not a factor of 2x² - 4x + 30