Question

solve the inequality

x² +6x - 7
32.
x? +1​

Answer 1

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -7x its coefficient is -7 .

The last term, "the constant", is -8

Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8

Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -7 .

-8 + 1 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 1

x2 - 8x + 1x - 8

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

x • (x-8)

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

1 • (x-8)

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

(x+1) • (x-8)

Which is the desired factorization