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1 Pure Mathematics

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Question 656

It is given that

P(x)=2x3+3x2−8x+3P(x) = 2x^3 + 3x^2 - 8x + 3P(x)=2x3+3x2−8x+3

a.

Use the factor theorem to show that (2x−1)(2x - 1)(2x−1) is a factor of P(x)P(x)P(x).

[2]
b.

Express P(x)P(x)P(x) in the form (2x−1)(ax2+bx+c)(2x - 1)(ax^2 + bx + c)(2x−1)(ax2+bx+c), where aaa, b b\,b and c c\,c are constants to be found.

[2]
c.

Hence factorise P(x)P(x)P(x) completely.

[1]
Markscheme

1 Pure Mathematics Questions

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