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Mathematics
Max Escobar
13 May, 19:50
Complete y^2+15y+56 = (y+7) (y+?) ... ?
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Elle
13 May, 22:00
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The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7) (y + a)
y² + 15y + 56 = y² + (7 + a) y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
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