How do you factor $x^3+10x^2+24x$ ?

Question

3968 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-16T04:56:25

The answer is $x^3+10x^2+24x=x(x+4)(x+6)$ .

Problem: Factor $x^3+10x^2+24x$ .

Factor out $x$ .

$x(x^2+10x+24)$

Factor $x^2+10x+24$ .

Find two numbers that when added equal 10, and when multiplied equal 24. Numbers $4$ and $6$ satisfy this requirement.

$x^2+10x+24=(x+4)(x+6)$

$x^3+10x^2+24=x(x+4)(x+6)$

How do you factor x^3+10x^2+24xx^3+10x^2+24x?