Which of the following describes the roots of the polynomial function k x) - (x+ 2)(x-4)(x+1)3?

-2 with multiplicity 2, 4 with multiplicity 1, and -1 with multiplicity 3.

Step-by-step explanation:

The given polynomial function is: .

To find the roots of this polynomial, we equate each factor to zero.

This implies that;

i. , , the multiplicity of this root is 2, because the factor repeats twice

ii.  , , the multiplicity of this root is 1, because the factor repeats once.

ii.  , , the multiplicity of this root is 3, because the factor repeats three times.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

step-by-step explanation: yes