The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows. P = −0.2N2 + 3.6N − 9

0.2×2+3.6-9 = -5

-5 = profit p

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!

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: