Expand.
If necessary, combine like terms.
(3+4.)(3 - 4x) =

-16x^2 +9

Step-by-step explanation:

To start this problem I would rearrange so that the terms with the x's come first. Making it look like this

(4x+3)(-4x+3)

Now you take the 4x and distribute it to the -4x and the 3.  

-16x^2+12x  This is the first part

Take the 3 and distribute it to the -4x and the 3 as well.

-12x+9

All you do now is combine the twoso you'd have

-16x^2 +12x -12x +9  Notice there are two terms that have a regular x with no exponent. This means you can combine them to simplify further.

-12x+12x=0  So you no longer have to include this term in your answer.

-16x^2+9 Would then be your final answer.

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!