SPS SPS SM 2025 February — Question 1 2 marks

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2025
SessionFebruary
Marks2
TopicFactor & Remainder Theorem
TypeSingle unknown constant
DifficultyEasy -1.2 This is a straightforward application of the factor theorem requiring substitution of x=2 into the polynomial and solving a simple linear equation. It's a routine 2-mark question testing basic recall with minimal problem-solving, making it easier than average.
Spec1.02j Manipulate polynomials: expanding, factorising, division, factor theorem

Given that \((x - 2)\) is a factor of \(2x^3 + kx - 4\), find the value of the constant \(k\). [2]

Given that $(x - 2)$ is a factor of $2x^3 + kx - 4$, find the value of the constant $k$. [2]

\hfill \mbox{\textit{SPS SPS SM 2025 Q1 [2]}}