Question

24.

Select all polynomials that have a zero located at
(4, 0).
A. fa
B. f(x) = (2x - 8) (x + 5)
C. f(x) = 4x(x - 3)(x - 1)
D. f(x) = (x − 4)(x − 3)(x + 1)
E. f(x) = 2x(4- x)(x + 5)(3x - 4)

Answer 1

B

D

E

The first choice A appears to be a typo, so I can't comment on that

Explanation:

Substitute x = 4 in each of the polynomials and see which ones end up with a value of 0. Since each of the polynomials is a multiplicative of expressions if any one of the individual expressions is 0 then the whole expression becomes 0

A. Unknown

B. 2x - 8 = 2 · 4 - 8 = 8 - 8 = 0. So this has a zero at (4,0)

C None of the individual expressions will result in 0. So not a correct choice

D x - 4 = 4 - 4 = 0 So this is a correct choice

E. In this case we have a 4-x term which is 4- 4 = 0; so correct choice