Question 1 - A-Level Maths

Exam Board	CAIE
Module	P2 (Pure Mathematics 2)
Year	2023
Session	November
Topic	Factor & Remainder Theorem
Type	Non-zero remainder condition

1 When the polynomial $$a x ^ { 3 } + 4 a x ^ { 2 } - 7 x - 5$$ is divided by $( x + 2 )$, the remainder is 33 .
Find the value of the constant $a$.