factorize z²+ 15z + 36
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The first term is, z2 its coefficient is 1 .
The middle term is, +15z its coefficient is 15 .
The last term, "the constant", is +36
Step-1 : Multiply the coefficient of the first term by the constant 1 • 36 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 15 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12
-4 + -9 = -13
-3 + -12 = -15
-2 + -18 = -20
-1 + -36 = -37
1 + 36 = 37
2 + 18 = 20
3 + 12 = 15 That's it
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