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AQA Maths C1 polynomials

Stuck on this exercise..

Find the quotient and the remainder when the polynomial P(x) is divided by (x-2)

P(x)= x^2+x-3
Original post by AndyOC
Stuck on this exercise..

Find the quotient and the remainder when the polynomial P(x) is divided by (x-2)

P(x)= x^2+x-3

Are you familiar with long division?
Reply 2
Original post by Smaug123
Are you familiar with long division?


Not really
Original post by AndyOC
Not really

OK, we'll do it longhand. x2+x3=(x+2)q(x)+r(x)x^2+x-3 = (x+2) q(x) + r(x), and the question is to find q and r. What can you tell me about q, r? (Start with the degrees of the polynomials, but feel free not to stop with them.)
Reply 4
Original post by Smaug123
OK, we'll do it longhand. x2+x3=(x+2)q(x)+r(x)x^2+x-3 = (x+2) q(x) + r(x), and the question is to find q and r. What can you tell me about q, r? (Start with the degrees of the polynomials, but feel free not to stop with them.)


I got q to equal 7 and r to equal 11, but doesn't seem right to me
Original post by AndyOC
I got q to equal 7 and r to equal 11, but doesn't seem right to me

Indeed it's not right: 7(x+2)+11=7x+257(x+2)+11 = 7x+25, not x2+x3x^2+x-3.

What degrees do q,rq, r have?
Reply 6
I'm not sure
Original post by AndyOC
I'm not sure

Your textbook should tell you, perhaps in a section called the "division algorithm".
Reply 8
If you could perhaps do this question for me using your method I would be able to understand it more easily
Reply 9
So I can see where I've gone wrong
Original post by AndyOC
So I can see where I've gone wrong

Show me your working first, and then I can tell you :P
Reply 11
ImageUploadedByStudent Room1420388384.206790.jpg

So this is the method I've used


Posted from TSR Mobile
Original post by AndyOC
ImageUploadedByStudent Room1420388384.206790.jpg

So this is the method I've used


Posted from TSR Mobile

(x2)(x2+px+q)(x-2)(x^2+px+q) has a cubic term. You will need the polynomial q(x)q(x) to be linear.

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