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Mathematics
Isabelle Carson
11 May, 14:39
How to factor 2x^2+x-15
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Ivan Velazquez
11 May, 14:47
0
(2x - 5) • (x + 3)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • - 15 = - 30
Step-2 : Find two factors of - 30 whose sum equals the coefficient of the middle term, which is 1.
-30 + 1 = - 29
-15 + 2 = - 13
-10 + 3 = - 7
-6 + 5 = - 1
-5 + 6 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 5 and 6
2x2 - 5x + 6x - 15
Step-4 : Add up the first 2 terms, pulling out like factors:
x • (2x-5)
Add up the last 2 terms, pulling out common factors:
3 • (2x-5)
Step-5 : Add up the four terms of step 4:
(x+3) • (2x-5)
Which is the desired factorization
Final result:
(2x - 5) • (x + 3)
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