Question

Use the Factor Theorem to determine which of the following are factors of 3x^4 + x^3 - 63x^2 + 39x + 20 x - 4, x + 1/3, x + 1, x + 2/3, x - 2/3, x + 5, x + 4

Answer 1

x+ 1/3

x-4

x+5

Explanation:

EDGE 2020 practice

Answer 2

• (x -4)
• (x +1/3)
• (x +5)

Explanation:

The Factor Theorem says that if f(a) = 0, then (x -a) is a factor.

To check if any of these binomials are factors, we evaluate the function at the opposite of the binomial's constant. The results show that these are factors:

• (x -4)
• (x +1/3)
• (x +5)

__

This is confirmed by the graph, which shows that the remaining factor is (x -1).