Question

[8.03] Using complete sentences, explain how to completely factor 2x2 − 6x − 36.

Answer 1

Help!!!!!!!

Answer 2

First, find the common factor in all three terms. the answer is 2. So, when we divide by 2, we get: 2(x2 -3x -18)
Now there are no more factors common to all three terms.

We can factorize x2 -3x - 18 further. To do that, we have to find two numbers whose sum is -3 and product is -18. 3 and -6 meet these conditions.

Now we can write the polynomial as 2(x2 - 6x + 3x -18)

The first two terms inside the bracket have a common factor. So do the last two terms. Taking them out, we get 2(x(x-6) + 3(x-6))

Now we see that the factor x-6 is common between the two terms inside the bracket.
Taking that term out, we get
2((x-6)(x+3)) = 2(x-6)(x+3).

hope this helps! .___.

Answer 3

thanks

Answer 4

your welcome