Given that the expression $2x^3 + ax^2 + bx + c$ leaves the same remainder when divided by \((x -

Question

Given that the expression $2x^3 + ax^2 + bx + c$ leaves the same remainder when divided by $(x - 5)$ and when divided by $(2x + 1)$, show that $9a + 2b = -91$.[3] Given that the remainder is $-6$ when the expression $2x^3 + ax^2 + bx + c$ is divided by $(x - 1)$, and $(x + 1)$ is a factor, calculate the value of $c$.[4]

Accepted Answer

(a) $9a+2b=-91$ (shown) (b) $c=6$

2024 GESS PRELIMS P2 Q1

2024 GESS PRELIMS P2 Q1

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