Question

Is (x+1) a factor of the function f(x) = 7x^4 – 5x^3 – 10x² + 2x, and why?
Yes. (x + 1) is a factor of f(x) because f(-1) = 0.
Yes. (x + 1) is a factor of f(x) because f(1) = 0.
No. (x + 1) is not a factor of f(x) because f(-1) + 0.
No. (x+1) is not a factor of f(x) because f(1) to

Answer 1

Answer:

first option

Step-by-step explanation:

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

If (x + 1) is a factor of f(x) then f(- 1) = 0

f(- 1) = 7$(-1)^{4}$ - 5(- 1)³ - 10(- 1)² + 2(- 1)

      = 7(1) - 5(- 1) - 10(1) - 2

     = 7 + 5 - 10 - 2

     = 12 - 12

     = 0

Since f(- 1) = 0 then (x + 1) is a factor of f(x)