ICSE Class 10 Factorization of Polynomials — Mock Test (2027)
Free online mock test for Factorization of Polynomials (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Factorization of Polynomials chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
-
1.Find the value of $k$, if $2x + 1$ is a factor of $(3k + 2)x^3 + (k - 1)$.
-
2.If the polynomial $ax^3 + 3x^2 - 9$ and $2x^3 + 4x + a$ leaves the same remainder when divided by $x + 3$, then the value of $a$ is
- A.3
- B.-3
- C.6
- D.-6
-
3.Using the remainder theorem, what is the value of $k$ if dividing $2x^{3} + 3x^{2} - kx + 5$ by $x - 2$ leaves a remainder of 7?
- A.$k = 13$
- B.$k = 7$
- C.$k = 10$
- D.$k = 5$
-
4.If $(x + 1)$ and $(x - 1)$ are factors of the polynomial $ax^3 + x^2 + 2x + b$, which of the following correctly gives the values of $a$ and $b$ and identifies the third factor?
- A.$a = -2$, $b = -1$; third factor $(1 - 2x)$
- B.$a = 2$, $b = 1$; third factor $(2x - 1)$
- C.$a = -1$, $b = -2$; third factor $(x - 1)$
- D.$a = 1$, $b = 2$; third factor $(x + 1)$
-
5.Find the value of $m$, if $mx^3 + 2x^2 - 3$ and $x^2 - mx + 4$ leave the same remainder when each is divided by $x - 2$.
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test