How do you factor $a^{2} + 11 a b + 30 b^{2}$ $a^2+11 ab+30b^2$ ?

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How do you factor $a^{2} + 11 a b + 30 b^{2}$ $a^2+11 ab+30b^2$ ?

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Answer 1 · 2015-05-28T03:04:53

$y = a^{2} + 11 a b + 30 b^{3}$ $y = a^2 + 11ab + 30b^3$ = (a - p)(a - q)
Find p and q by composing factor pairs of $(30 b^{2})$ $(30b^2)$ -> (2b, 15b)(5b, 6b).
Then p = 5b and q = 6b.

y = (a + 5b)(a + 6b)

Check: $y = a^{2} + 6 a b + 5 a b + 30 b^{2}$ $y = a^2 + 6ab + 5ab + 30b^2$ . OK

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How do you factor $a^{2} + 11 a b + 30 b^{2}$ $a^2+11 ab+30b^2$ ?

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