Question

Using the Factor Theorem, determine which of the following is a factor of the polynomial f (x) = x3 – x2 – 3x – 1Ox-1Ox+1Ox-2Ox+2Points earned on this question: 0

Answer 1

You have the following function:

f(x) = x^3 - x^2 - 3x - 1

Consider that factor theorem states that if the remainder of the division between f(x) and x-a is zero, then, x-a is a factor of f(x).

In this case, you have that the division:

x^2 - 2x - 1

x + 1 l x^3 - x^2 - 3x - 1

-x^3 - x^2

-2x^2 -3x - 1

2x^2 +2x

-x - 1

x + 1

0

The remainder of the previous division is zero, then, x + 1 is a factor of f(x)