Answer:

( x - 5 )( x + 15 )

x² + 10x - 75

Rewrite

x² - 5x + 15x - 75

Factor

x( x - 5 ) + 15( x - 5 )

Factor

( x - 5 )( x + 15 )

Answer:

Factoring x2-10x-75

The first term is, x2 its coefficient is 1 .

The middle term is, -10x its coefficient is -10 .

The last term, "the constant", is -75

Step-1 : Multiply the coefficient of the first term by the constant 1 • -75 = -75

Step-2 : Find two factors of -75 whose sum equals the coefficient of the middle term, which is -10 .

-75 + 1 = -74

-25 + 3 = -22

-15 + 5 = -10 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 5

x2 - 15x + 5x - 75

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-15)

Add up the last 2 terms, pulling out common factors :

5 • (x-15)

Step-5 : Add up the four terms of step 4 :

(x+5) • (x-15)

Which is the desired factoring

answer:

x = 15

x = -5