Math, asked by minalimbu853, 1 month ago

(-x2-5x-3)-(-7 x 2-8x-8)​

Answers

Answered by princekumar27328
0

Step-by-step explanation:

The first term is, -8x2 its coefficient is -8 .

The middle term is, +3x its coefficient is 3 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant -8 • 5 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is 3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3

-5 + 8 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 8

-8x2 - 5x + 8x + 5

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

-x • (8x+5)

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

1 • (8x+5)

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

(-x+1) • (8x+5)

Which is the desired factorization

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