Taylor J.

asked • 01/25/18

Factor 2x^2+36x+90

I need some help with Algebra

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Inactive Tutor answered • 01/25/18

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2x2 + 36x + 90 = 2(x2 + 18x + 45) = 2(x + 3)(x + 15)
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After factoring out the 2 to get
2(x2 + 18x + 45)
Look for factors of the constant, +45, that add to the coefficient of the x term, +18.
Those factors are 15 and 3:  15(3) = 45, 15+3 = 18
 
x2 + 18x + 45 = (x+3)(x+ 15)
 
So:  2x2 + 36x + 90 = 2(x+3)(x+15)
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01/25/18

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