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]

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