If (x+k) is a favor of f (x) which of the following must be true?

A) f (k) = 0

B) f (-k) = 0

C) a root of f (x) is x=k

D) a y-intercept of f (x) is x=-k

Question

Mathematics

Sharon Hutchinson

14 November, 07:02

If (x+k) is a favor of f (x) which of the following must be true?

A) f (k) = 0

B) f (-k) = 0

C) a root of f (x) is x=k

D) a y-intercept of f (x) is x=-k

+5

Answers (1)

Know the Answer?

Celeste Maynard · Answer 1

B

Step-by-step explanation:

A factor of f (x) has the form (x+k). We know to find the zeros or roots of the function we set the factors equal to 0.

So (x+k) = 0 and solve for x. x=-k. This means f (-k) = 0.

If (x+k) is a favor of f (x) which of the following must be true?A) f (k) = 0B) f (-k) = 0C) a root of f (x) is x=kD) a y-intercept of f (x) is x=-k

If (x+k) is a favor of f (x) which of the following must be true?

A) f (k) = 0

B) f (-k) = 0

C) a root of f (x) is x=k

D) a y-intercept of f (x) is x=-k