AQA Further Paper 2 2024 June — Question 4

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
Year2024
SessionJune
TopicRoots of polynomials

4 The function f is a quartic function with real coefficients.
The complex number 5i is a root of the equation \(\mathrm { f } ( x ) = 0\)
Which one of the following must be a factor of \(\mathrm { f } ( x )\) ?
Circle your answer.
( \(x ^ { 2 } - 25\) )
\(\left( x ^ { 2 } - 5 \right)\)
\(\left( x ^ { 2 } + 5 \right)\)
\(\left( x ^ { 2 } + 25 \right)\)