A polynomial $f(x)$ has a remainder of $-1$ when divided by $(2x+3$). Find the remainder when&

Question

A polynomial $f(x)$ has a remainder of $-1$ when divided by $(2x+3$). Find the remainder when $f(x)$ $-1$ is divided by $(2x+3$)[1] Find in terms of $f(X)$, a polynomial which is divisible by $(2x+3$).[1] The cubic polynomial $g(x)$ is such that the coefficient of $x^3$ is $2$ and the roots of $g(x) = 0$ are $-1$, $m$ and $2m$, where $m$ is an integer. It is given that $g(x)$ has a remainder of $12$ when divided by $x - 1$ Find an expression of $g(x)$ in descending powers of $x$.[5]

Accepted Answer

(a)(i) $-2$ (a)(ii) $f(x)+1$ (b) $g(x)=2x^3-10x^2+4x+16$

2025 MSHS PRELIMS P2 Q1

2025 MSHS PRELIMS P2 Q1

Solution:

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