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Mathematics 18 Online
OpenStudy (danielbarriosr1):

How do I factor this expression? Someone please explain me

OpenStudy (danielbarriosr1):

\[v ^{2}+5v-36\]

OpenStudy (tkhunny):

What factorizations are there of 36? 1 x 36 2 x 18 3 x 12 Any more?

OpenStudy (danielbarriosr1):

5 x 7

OpenStudy (tkhunny):

?? 5*7 = 35 That's not 36.

OpenStudy (danielbarriosr1):

sorry

OpenStudy (danielbarriosr1):

4 x 9

OpenStudy (danielbarriosr1):

6 x 6

OpenStudy (tkhunny):

Okay, any of those factorizations have a difference of 5? 1*36 ==> 36-1 = 35 That's not 5 2*18 ==> 18-2 = 16 That's not 5 3*12 ==> 12-3 = 9 That's not 5, but we do seem to be getting closer.

OpenStudy (danielbarriosr1):

I think is 4 x 9

OpenStudy (tkhunny):

There you go. Fill in the blanks (v + ___)(v - ___)

OpenStudy (danielbarriosr1):

(v-4)(v+9)

OpenStudy (tkhunny):

I think you're done. Good work.

OpenStudy (danielbarriosr1):

Thanks Would you help me with another one please?

OpenStudy (tkhunny):

You can SHOW me one.

OpenStudy (danielbarriosr1):

Ok

OpenStudy (danielbarriosr1):

\[k ^{2}+5kn-84n ^{2}\]

OpenStudy (tkhunny):

Same deal: Fill in the blanks (k + ____n)(k - ____n)

OpenStudy (danielbarriosr1):

7 x 8 (k-7)(k+12)

OpenStudy (danielbarriosr1):

Is it right?

OpenStudy (danielbarriosr1):

(k-7n)(k+12n)

OpenStudy (tkhunny):

What's 7*8 doing in there? You tell me if it's right. Multiply it back out and see if you recover the original.

OpenStudy (danielbarriosr1):

7 x 12 sorry

OpenStudy (tkhunny):

I, hereby, dub thee the Factoring Wizard.

OpenStudy (danielbarriosr1):

Thanks

OpenStudy (danielbarriosr1):

That's it

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