Question

Perform the indicated operation.

(36m2 - 60m + 25) ÷ (6m - 5) = _____

Answer 1

6m + 5
6m - 5 R. 50
6m + 15 R. 100
6m - 5

Answer 2

@zepdrix Do I solve this like I did the other equation?

Answer 3

(6m-5)^2/(6m-5)=6m-5

Answer 4

I think we would have to do `Polynomial Long Division` for this problem.
Have you learned about that yet?

Answer 5

Yes, but I'm not very good at it and probably don't remember all of it.

Answer 6

Or if you're able to factor the top as marss has done, that works out nicely also.

Answer 7

@marsss Why is (6m-5) squared?

Answer 8

Is the numerator aka the top?

Answer 9

yes that's what i meant by top, my bad :)

Answer 10

So I would factor out each term seperately? For instance, I'd factor 36m^2. Then 60m. Then 25?

Answer 11

(M+1)(M+36)

Answer 12

?

Answer 13

Mmmmm I'm not sure how to explain factoring.

\(\large 36m^2-60m+25 \qquad=\qquad 6^2m^2-30m-30m+5^2\)

\(\large 6\cdot -5=-30\)
So 6 and -5 are the numbers we want,

\(\large (6m-5)(6m-5)\)


I could explain it a little better if we did long division. But this method is a little faster I suppose.

Answer 14

Would it be too much to ask you to explain it in long division?

Answer 15

sure, np c:

Answer 16

Thanks!