Easy -1.2 This is a straightforward application of the Remainder Theorem requiring substitution of x = -2 and solving a simple linear equation. It's a single-step problem testing basic recall of the theorem with minimal algebraic manipulation, making it easier than average.
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 \(a\).
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 $a$.\\
\hfill \mbox{\textit{CAIE P2 2023 Q1 [2]}}