If f(x) = 2x – 6 and g(x) = x – 2^2, find each value. 2[g(b) + 1]
a. 2b– 4b^2 + 2
b. 4b+ 10
c. 2b – 4b^2 – 2
d. b– 2b^2 + 1

m∠a is 90°

m∠b is 40°

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

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!