Question

What is the factored form of the following expression?

w2 + 18w + 77
A. (w – 7)(w + 11)

B. (w – 7)(w – 11)

C. (w + 7)(w + 11)

D. (w + 1)(w + 77)

Answer 1

explain how to do it please.

Answer 2

w^2 + 18w + 77
= w^2 + 7w +11w + 77
= w(w+7) + 11(w+7)
= ...??

Answer 3

this questions are not hard, all you have to do is to multiple them. Start off by eliminating the ways that are not the possible answers.

Answer 4

just don't understand this class

Answer 5

how do u get 7w and 11w

Answer 6

ok, look at the last number its +77, right?? so eliminate A and B because it will be -77

Answer 7

ok

Answer 8

since 7w + 11w = 18w
and w^2 + 7w = w(w+7) while 11w + 77 = 11 (w+7)

Answer 9

continue please

Answer 10

Special remainder:
First, consider the last term ''+ 77 '', it tells us that the factors are either negative for both or positive for both. Since '-' x '-' = '+' and '+' x '+' = '+'
Then, consider the second term '+18w', it tells us that the factors are both positive. Since when you expand it, only both positive can give you a positive middle term as a whole.
Take an example:
(x+1)(x+2) = x^2 + x+2x +2 = x^2 + 3x +2
(x-1)(x-2) = x^2 - x - 2x +2 = x^2 - 3x +2

Answer 11

so the answer is C. (w+7)(w+11)

Answer 12

Back to the question, since you get this step:
= w(w+7) + 11(w+7)
Take out the common factor and group the rest.

Yes - the answer is C

Answer 13

C. (w+7)(w+11)
I got this correct on my test.