Question 10 - A-Level Maths

Exam Board	SPS
Module	SPS SM (SPS SM)
Year	2025
Session	October
Topic	Factor & Remainder Theorem
Type	Single polynomial, two remainder/factor conditions

10. \(f ( x ) = x ^ { 4 } + b x + c\)
\(( x - 2 )\) is a factor of \(f ( x )\).
\(f ( - 3 ) = 35\).

Find b and c.
Hence express \(\mathrm { f } ( \mathrm { x } )\) as the product of linear and cubic factors.
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