(-x2-5x-3)-(-7 x 2-8x-8)
Answers
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