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Mathematics
Ernesto Valdez
26 September, 17:59
Factor the expression 4x^2 - 12x - 7
+5
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1
)
Lola Strickland
26 September, 19:01
0
(2x+1) (2x-7)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 4 • - 7 = - 28
Find two factors of - 28 whose sum equals the coefficient of the middle term, which is - 12
(-28 + 1 = - 27
-14 + 2 = - 12)
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 14 and 2
4x2 - 14x + 2x - 7
Add up the first 2 terms, pulling out like factors:
2x • (2x-7)
Add up the last 2 terms, pulling out common factors:
1 • (2x-7)
Add up the four terms:
(2x+1) • (2x-7)
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