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

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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)#