Could you guys do these questions step by step? I have some difficulty understanding =/
Thank you very much!!
Hmm, I got
Is that right?
I just have one more question, it's really confusing me right now...
If x(4x+5) = Ax(2x+5)+Bx for all values of x, find the values of A and B.
My teacher taught me something like FOIL, which is first, outside, inner, last. So, I multiplied all of them together and I got but I don't know where to go from there. Any help?
Also, there's also dividing polynomials that I just don't get. I understand addition, subtraction, multiplication now but division is just... so confusing.
Like for what in the world am I supposed to do!?! And why is it subtract sign? What does it mean? There are questions like that have division sign, and all other signs. I realize I should show my steps, but I don't even know how to start these questions...
I don't think so. However I am not entirely sure which question you are attempting here but it doesn't look like the answer to any of your 10.
You will need to expand out the brackets and then "equate coefficients". This means that you use the fact that the coefficients of , x and 1 must be the same on both sides of the equals sign. This should net you A and BIf x(4x+5) = Ax(2x+5)+Bx for all values of x, find the values of A and B.
Firs check whether you can cancel anything out in each fraction. Then, do what you would normally do with ordinary fractions to get them all over the same denominator. Then you can just subtract the numerators.
Turn the second fraction upside down and multiply.
First off, your answer is not simplified. Second, the answer has three factors of x and three factors of y in it. The result is a cubic in both x and y, not a quadratic as you posted.
Break this down into steps like I did. Multiply out the last two factors, then multiply the third into it.
-Dan