Question

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

Answer 1

Answer: (x-3) (x+9)

Explanation:

*since we have a x^2 we know that the polynomial will have (x+) (x-)*

*now we have the 6x and 27 to worry about we have to find what 2 numbers that We need two numbers that...Add together to get and Multiply together to get -27*

if we try -3 and 9 we get:

-3+9 = 6

-3*9 = -27

Answer 2

We need to understand that the sign of your constant )that's your number -27) dictates how you factor. A + and - number multipled together yields a - number.

The middle term dictates what number is asigned the + or - signs. Knowing that are 6 is positive, the larger number will be assigned the positive sign.

So what to numbers multiply together to yield- 27, but have a difference of +6. +9 x -3 = -27

Therefore, we break our binomial up as follows, (x+9)(x-3)