Respuesta :
Answer:
(x−2)(x+15)
Step-by-step 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)
Answer:
[tex](x-2)(x+15)[/tex]
Step-by-step explanation:
[tex]x^2+13x -30 \\[/tex]
Find the factors that multiply to -30, but add up 13
These factors are -2, 15
[tex]x^2-2x+15x-30[/tex]
Split the expression then factor it
[tex]x^2-2x[/tex] | [tex]15x-30[/tex]
[tex]x(x-2)[/tex] | [tex]15(x-2)[/tex]
Finally put it all together
[tex](x-2)(x+15)[/tex]