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How do you factor #2x^3+4x^2-18x-36#?

Answer 1

Savannah Anderson

Before recombining, group and take out common factors from subgroups:

#color(red)(2x^3+4x^2)color(blue)(-18x-36)#

#=color(red)((2x^2)(x+2)) -color(blue)((18)(x+2))#

#=(2x-18)(x+2)# or #=2(x-9)(x+2)#

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Answer 2

Eli Assouline

To factor the expression 2x^3 + 4x^2 - 18x - 36, you can first factor out the greatest common factor, which is 2. After factoring out 2, the expression becomes:

2(x^3 + 2x^2 - 9x - 18)

Then, you can use various factoring techniques such as grouping or synthetic division to further factor the expression.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.