Factoring and reducing

[jpugs00]

I need some assistance in reducing into the lowest terms....All the help the professor would provide is that you would do so by grouping. (Note: this is a division between the 2 polynomials)

x²+3x²-17x-44

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x²+7x=11

 

[stapel]

I need some assistance in reducing into the lowest terms....All the help the professor would provide is that you would do so by grouping. (Note: this is a division between the 2 polynomials)

. . . . .\(\displaystyle \dfrac{x^2\,+\, 3x^2\, -\, 17x\, -\, 44}{x^2\,+\, 7x\, =\, 11}\)

I suspect that there are at least two typoes in the above. Kindly please reply with corrections.

When you reply, please include a clear listing of your efforts so far, or else specify that you first need to learn how to factor. Thank you!

 

[jpugs00]

I understand the factoring by grouping on the numerator portion. But not sure how to get from there....

 

[jpugs00]

I understand the factoring by grouping in the numerator, but with the possible answers provided I'm not sure how any were obtained. The choices are
A. X-4.
B. 7X+11
C. X+4

 

[Deleted member 4993]

I understand the factoring by grouping on the numerator portion. But not sure how to get from there....

What did you get when you factorized the numerator?

You have to also factorize (possibly) the denominator (after correcting it in the original post!!) and cancel out the common factors.

 

[stapel]

I understand the factoring by grouping on the numerator portion. But not sure how to get from there.

. . . . .\(\displaystyle \dfrac{x^2\,+\, 3x^2\, -\, 17x\, -\, 44}{x^2\,+\, 7x\, =\, 11}\)

Really? How did you factor the numerator? Did you first combine the first two terms? Or is there a typo in the first term of the numerator, and maybe that first exponent should be a "3"?

How are you proposing to factor an equation? Or is there a typo in the denominator, and maybe that "equals" sign is supposed to be a "plus" or a "minus"?

Please read the above, and reply with answers to the questions asked. Thank you!