Is it possible to factor $y = 3 x^{3} + 30 x^{2} + 75 x$ $y=3x^3+30x^2+75x$ ? If so, what are the factors?

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Answer 1 · 2018-05-30T02:12:31

$y = 3 x {(x + 5)}^{2}$ $y=3x(x+5)^2$

$y = 3 x^{3} + 30 x^{2} + 75 x$ $y=3x^3+30x^2+75x$

We can see that $3 x$ $3x$ is a factor.

$:. y=3x(x^2+10x+25)$

Which we can write as $3x(x^2+2x xx5 +5^2)$

Now remember: $(a+b)^2 = a^2+2ab+b^2$

Hence. $(x^2+10x+25) = (x+5)^2$

$:. y=3x(x+5)^2$

Is it possible to factor y=3x^3+30x^2+75x y=3x3+30x2+75xy=3x^3+30x^2+75x ? If so, what are the factors?