Which polynomial function f (x) has a leading coefficient of 1, root - 4, 2, and 9 with multiplicity 1, and root - 5 with multiplicity 3?

A. f (x) = 3 (x+5) (x+4) (x-2) (x-9)

B. f (x) = 3 (x-5) (x-4) (x+2) (x+9)

C. f (x) = (x+5) (x+5) (x+4) (x-2) (x-9)

D. f (x) = (x-5) (x-5) (x-4) (x+2) (x+9)

Question

Celeste Ritter

Mathematics

15 September, 03:31

Which polynomial function f (x) has a leading coefficient of 1, root - 4, 2, and 9 with multiplicity 1, and root - 5 with multiplicity 3?

A. f (x) = 3 (x+5) (x+4) (x-2) (x-9)

B. f (x) = 3 (x-5) (x-4) (x+2) (x+9)

C. f (x) = (x+5) (x+5) (x+4) (x-2) (x-9)

D. f (x) = (x-5) (x-5) (x-4) (x+2) (x+9)

+3

Answers (1)

Know the Answer?

Ezequiel Duarte · Answer 1

So, here, take each root and create a factor that uses the opposite of the root number.

(x+4) (x-2) (x-9) (x+5) ... but the x+5 factor is a mult. 3 so it is taken to the third power. So the answer is not one of the options. The answer should be (x+4) (x-2) (x-9) (x+5) (x+5) (x+5) = f (x)

Which polynomial function f (x) has a leading coefficient of 1, root - 4, 2, and 9 with multiplicity 1, and root - 5 with multiplicity 3?A. f (x) = 3 (x+5) (x+4) (x-2) (x-9)B. f (x) = 3 (x-5) (x-4) (x+2) (x+9)C. f (x) = (x+5) (x+5) (x+4) (x-2) (x-9)D. f (x) = (x-5) (x-5) (x-4) (x+2) (x+9)

Which polynomial function f (x) has a leading coefficient of 1, root - 4, 2, and 9 with multiplicity 1, and root - 5 with multiplicity 3?

A. f (x) = 3 (x+5) (x+4) (x-2) (x-9)

B. f (x) = 3 (x-5) (x-4) (x+2) (x+9)

C. f (x) = (x+5) (x+5) (x+4) (x-2) (x-9)

D. f (x) = (x-5) (x-5) (x-4) (x+2) (x+9)