SPS SPS SM 2021 November — Question 5 5 marks

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2021
SessionNovember
Marks5
TopicFactor & Remainder Theorem
TypeKnown polynomial, verify then factorise
5.
\(\mathrm { p } ( x ) = 30 x ^ { 3 } - 7 x ^ { 2 } - 7 x + 2\)
Prove that ( \(2 x + 1\) ) is a factor of \(\mathrm { p } ( x )\)
[0pt] [2 marks]
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L Factorise \(\mathrm { p } ( x )\) completely.
[0pt] [3 marks]
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