How do you factor the trinomial $5 x^{2} + 25 x + 30$ $5x^2 + 25x +30$ ?

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Answer 1 · 2017-05-19T10:14:38

$5 (x + 2) (x + 3)$ $5 (x+2)(x+3)$

$5 x^{2} + 25 x + 30 = 5 (x^{2} + 5 x + 6) = 5 (x^{2} + 2 x + 3 x + 6)$ $5 x^2 +25x +30 = 5 ( x^2 +5x +6) = 5 ( x^2 +2x +3x +6)$

$= 5 {x (x + 2) + 3 (x + 2)} = 5 (x + 2) (x + 3)$ $= 5 {x (x+2) +3 (x+2) } = 5 (x+2)(x+3)$ [Ans]

How do you factor the trinomial 5x2+25x+305x^2 + 25x +30?