Question

factories 7x²-92x-13​

Answer 1

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Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(7x2 - 13x) - 2

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 7x2-13x-2

The first term is, 7x2 its coefficient is 7 .

The middle term is, -13x its coefficient is -13 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 7 • -2 = -14

Step-2 : Find two factors of -14 whose sum equals the coefficient of the middle term, which is -13 .

-14 + 1 = -13 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 1

7x2 - 14x + 1x - 2

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

7x • (x-2)

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

1 • (x-2)

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

(7x+1) • (x-2)

Which is the desired factorization

Final result :

(x - 2) • (7x + 1)