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alexisburgess
alexisburgess alexisburgess
  • 13-02-2017
  • Mathematics
Answered

Factor completely 3x^3 + 6x^2 − 24x

Select one:

A3x(x − 4)(x + 2)
B3x(x + 4)(x − 2)
C3x(x − 3)(x + 2)
D3x(x + 3)(x + 2)

Verified Answer :

sqdancefan
sqdancefan sqdancefan
  • 05-08-2018

The only choice that multiplies out to give the original expression is ...

... b. 3x(x + 4)(x − 2)

_____

After you factor out 3x, you have 3x(x² +2x -8). At this point you can eliminate answers C and D because the product of the constants in the binomial factors is not -8. You can eliminate answer A because the product of binomial terms gives -2x as the linear term in the quadratic factor, not +2x.

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