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

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

2025 MSHS PRELIMS P2 Q1

2025 MSHS PRELIMS P2 Q1