Question

Determine if the divisor is a factor of the expression

Answer 1

(x + 3) is not a factor of f(x)

Explanation:

if (x + a) is a factor of f(x) then f(- a) = 0

if (x + 3) is a factor of f(x) then f(- 3) = 0 , so

f(- 3) = 3
`(-3)^(4)` + 2(- 3)² - 7 = 3(81) + 2(9) - 7 = 243 + 18 - 7 = 254 ≠ 0

since f(- 3) ≠ 0 , then (x + 3) is not a factor of f(x)