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Aubrey Davies
Mathematics
26 June, 21:33
What are the factors of 2x^2 + 5x - 12?
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Chloe Delacruz
26 June, 21:49
0
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1:
Equation at step 1:
(2x2 + 5x) - 12
Step 2:
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2.
The middle term is, + 5x its coefficient is 5.
The last term, "the constant", is - 12
Step-1 : Multiply the coefficient of the first term by the constant 2 • - 12 = - 24
Step-2 : Find two factors of - 24 whose sum equals the coefficient of the middle term, which is 5.
-24 + 1 = - 23
-12 + 2 = - 10
-8 + 3 = - 5
-6 + 4 = - 2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors:
x • (2x-3)
Add up the last 2 terms, pulling out common factors:
4 • (2x-3)
Step-5 : Add up the four terms of step 4:
(x+4) • (2x-3)
Which is the desired factorization
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