Which of the following describes the roots of the polynomial function f(x) = (x+2)+(x-4)(x+1)3? O O O
-2 with multiplicity 2, 4 with multiplicity 1, and -1 with multiplicity 3
-2 with multiplicity 3, 4 with multiplicity 2, and -1 with multiplicity 4
2 with multiplicity 2, -4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, 4 with multiplicity 2, and 1 with multiplicity 4

x=0

step-by-step explanation:

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.