Split the middle Term
8xsquare - 10x - 7
Answers
Answer:
(4x - 7) • (2x + 1)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(23x2 - 10x) - 7
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 8x2-10x-7
The first term is, 8x2 its coefficient is 8 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is -7
Step-1 : Multiply the coefficient of the first term by the constant 8 • -7 = -56
Step-2 : Find two factors of -56 whose sum equals the coefficient of the middle term, which is -10 .
-56 + 1 = -55
-28 + 2 = -26
-14 + 4 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 4
8x2 - 14x + 4x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (4x-7)
Add up the last 2 terms, pulling out common factors :
1 • (4x-7)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (4x-7)
Which is the desired factorization
Final result :
(4x - 7) • (2x + 1)
Answer:
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