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Mathematics 14 Online
OpenStudy (elise_a18):

Factor 12x^2 − 4x − 1

OpenStudy (mathmusician):

multiply the 12 to the 1

OpenStudy (mathmusician):

so now you have \[x ^{2}-4x+12\]

OpenStudy (elise_a18):

so x^2-6x+2x+12?

OpenStudy (mathmusician):

sorry it should be -12

OpenStudy (mathmusician):

now find two numbers that when multiplied together they equal 12

OpenStudy (mathmusician):

*-12

OpenStudy (elise_a18):

so (x+2) and (x-6)

OpenStudy (mathmusician):

except you are missing one thing

OpenStudy (elise_a18):

not sure what is

OpenStudy (mathmusician):

because you multiplied the 12 you need to put it in the factor so (12x+2) (12x-6)

OpenStudy (mathmusician):

Then just simplify

OpenStudy (mathmusician):

So it would be (6x+1)(2x-1)

OpenStudy (elise_a18):

if I were to check this solution it would simplify to 144X^2-72x+24x-1

OpenStudy (mathmusician):

Yeah but it would be easier to use the simplified one that I provided

OpenStudy (mathmusician):

Anymore questions?

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