Answer:

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Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(11x2 + 18x) + 7

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 11x2+18x+7

The first term is, 11x2 its coefficient is 11 .

The middle term is, +18x its coefficient is 18 .

The last term, "the constant", is +7

Step-1 : Multiply the coefficient of the first term by the constant 11 • 7 = 77

Step-2 : Find two FACTORS of 77 whose sum equals the coefficient of the middle term, which is 18 .

-77 + -1 = -78

-11 + -7 = -18

-7 + -11 = -18

-1 + -77 = -78

1 + 77 = 78

7 + 11 = 18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 11

11x2 + 7x + 11X + 7

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

x • (11x+7)

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

1 • (11x+7)

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

(x+1) • (11x+7)

Which is the desired factorization

Final result :

(11x + 7) • (x + 1)