TMUA MioMath 2024 Paper 2 · Question 8

Let $P$ be the statement “ $f(x)$ is divisible by $(x+2)(x-3)$ ” and $Q$ be the statement “ $f(x)$ is divisible by $4x^2-4x-24$ ”.

Which option gives the most complete description of $P$ as a condition for $Q$ ?

Aa sufficient condition for

Q

Ba sufficient but not necessary condition for

Q

Ca necessary and sufficient condition for

Q

Dneither a sufficient nor a necessary condition for

Q

Q

is a necessary condition for

P

P

is a necessary but not sufficient condition for

Q

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