Question

Is (x+2) a factor of f(x) = x3-7x2+2x-8? Use either remainder theorem to explain your reasoning

Answer 1

Answer:

NO. f(— 7) = — 343 — 3 * 49 + 2 * (— 7) — 8 f(— 7) = — 343 — 147 — ...

Missing: 7x2+ ‎| Must include: 7x2+

Step-by-step explanation:

Answer 2

Answer:

No

Step-by-step explanation:

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

Here (x + 2) with h = - 2 , then

f(- 2) = (- 2)³ - 7(- 2)² + 2(- 2) - 8

       = - 8 - 7(4) - 4 - 8

      = - 8 - 28 - 12

     = - 48

Since f(- 2) ≠ 0 then (x + 2) is not a factor of f(x)