How do you factor $3 x^{2} + 30 x + 75$ $3x^2+30x+75$ ?

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Answer 1 · 2015-05-23T13:33:07

Given $3 x^{2} + 30 x + 75$ $3x^2+30x+75$

Step 1: Extract the obvious common constant factor
$3 (x^{2} + 10 x + 25)$ $3(x^2+10x+25)$

Recognize the second term as a square
$3 {(x + 5)}^{2}$ $3(x+5)^2$

How do you factor 3x2+30x+753x^2+30x+75?