Question

Show work please!!! Will mark brainliest!!!

Answer 1

Answer:

Step-by-step explanation:

Factoring 7(x² - 5x - 6 )

The first term is, x² its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 1 • -6 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

x² - 6x + 1x - 6

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

x • (x-6)

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

1 • (x-6)

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

(x+1) • (x-6)

Which is the desired factorization

Equation at the end of step 3 :

7 (x + 1) (x - 6) = 0

Mark as brainliest answer