C3 Mathematics

The coefficient of x^3 is just the constant by which x^3 is multiplied; likewise for x^2. Since x can vary, for both sides of this equation to be identical regardless of the value of x, we need the coefficients for the different powers of x to be the same on each side.
So what you are doing is comparing the left hand side to the right hand side, as you know they are identical. The coefficient of x^3 is clearly 1. If you multiply out the right hand side, you will find that the only x^3 term is Ax^3. Hence A = 1.
You also know that the coefficient of x^2 is 1. If you multiply out the right hand side, you can similarly find B.

Could someone help with example 12 on page 9. I am unsure, what they mean by "comparing the coefficients in x3" and "comparing the coefficients in x2"

Link: http://www.scribd.com/doc/131321174/Edexcel-Maths-C3#scribd

Thanks!!

Hows C3 and C4 ?I also do Maths and how difficult was the AS maths exams in the summer ?

^^

If 2 polynomials are identical then each element has the same coefficient

$ax^3+bx^2+cx+d \equiv ex^3+fx^2+gx+h$

Means a=e and b=f etc

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