Non-zero remainder condition

Questions where division by a linear expression gives a specified non-zero remainder, requiring the polynomial to equal that remainder value at a specific point.

1 questions

CAIE P2 2023 November Q1
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 \(a\).