What is the value of f(–2)of the polynomial f(x) = –x^3 + x +1 ? What does this mean about the linear binomial (x + 2)?

2nd option

Step-by-step explanation:

Given f(x) divided by (x - h) then f(h) is the remainder

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

f(- 2) = - (- 2)³ + (- 2) + 1 = - (- 8) - 2 + 1 = 8 - 1 = 7

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

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.