Help please Why is the Remainder Theorem used to determine whether a linear binomial is a factor of a polynomial?

This is because it helps us factorize the polynomial more easily.

Step-by-step explanation:

The remainder theorem which states that if P(x) is a polynomial and x - a is a linear factor, then the remainder when P(x) is divided by x - a is P(a). When P(a) = 0, then x - a is a factor of P(x).

So, the remainder theorem is used to determine whether a linear binomial is a factor of a polynomial because it helps us factorize the polynomial more easily.

When the polynomial is divided by the linear factor, we obtain a polynomial of lesser degree which can then be further factorized to obtain all the factors of our initial polynomial.

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!