The solutions to the equation () = () are -2 and 1. If f and g are graphed on the same coordinate plane, which statement must be true?
A. The functions will intersect at x = -2 and x = 1.
B. The functions will intersect at y = -2 and y = 1.
C. Both functions will have y--intercepts at -2 and 1.
D. Both functions will have x--intercepts at -2 and 1.
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answer: sensy

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!