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FP1 Algebra Problem

Hi, I have this question from an FP1 Chapter Assessment, and I've managed to do all of the other questions but for some reason, I can't seem to figure out this one even though it's easier compared to the others.
The Question: Find the values of the unknown constants in this identity:
3x-2=P(x+1)^2+Q(x+1)(x-3)+R(x-3)^2
Any help would be much appreciated! Thank you
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Avatar for B_9710
B_9710
18
Expand each bracket and then equate coefficients. This should form 3 equations that you can then solve simultaneously. (I haven't tried the question so I don't know how it would come out exactly)
Original post by XmayaX
Hi, I have this question from an FP1 Chapter Assessment, and I've managed to do all of the other questions but for some reason, I can't seem to figure out this one even though it's easier compared to the others.
The Question: Find the values of the unknown constants in this identity:
3x-2=P(x+1)^2+Q(x+1)(x-3)+R(x-3)^2
Any help would be much appreciated! Thank you


substitute values to make x+1=0 and x-3=0 to find P and R then equate coefficients to find Q
Reply 3
Avatar for XmayaX
XmayaX
OP
2
Original post by kieran12321LFC
substitute values to make x+1=0 and x-3=0 to find P and R then equate coefficients to find Q


Hiya, thanks so much for the help but I realised that I needed to do that, I'd just been trying to equate the coefficients which was pretty complicated!

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