Multiply the binomials:

(a-2) • (a-8)

a^2 -10a +16

Step-by-step explanation:

(a-2) • (a-8)

FOIL

first a*a = a^2

outer: a * -8 = -8a

inner: -2 *a = -2a

last: -2 *-8 = 16

Add them together

a^2 -8a -2a+16

Combine like terms

a^2 -10a +16

Step-by-step explanation:

(a-2) (a-8) , distribute a over (a-8) then -2 over (a-8)

a²-8a-2a+16, combine like terms

a² -10a +16

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!