Question

Please please help and show work, preferably the box method!!!!

Factor x^2+ 13x – 30. Reminder: you must show work to receive credit.​

Answer 1

`(x-2)(x+15)`

Explanation:

`x^2+13x -30 \\`

Find the factors that multiply to -30, but add up 13

These factors are -2, 15

`x^2-2x+15x-30`

Split the expression then factor it

`x^2-2x` |
`15x-30`

`x(x-2)` |
`15(x-2)`

Finally put it all together

`(x-2)(x+15)`

Answer 2

(x−2)(x+15)

Explanation:

The middle number is 13 and the last number is -30.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 13

Multiply together to get -30

Can you think of the two numbers?

Try -2 and 15:

-2+15 = 13

-2*15 = -30

Fill in the blanks in

(x+_)(x+_)

with -2 and 15 to get...

(x-2)(x+15)