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.Using the factor theorem, which of the following is the correct factorisation of the polynomial $x^3 + 7x^2 + 7x - 15$?
- A.$(x - 1)(x + 3)(x + 5)$
- B.$(x + 1)(x + 3)(x + 5)$
- C.$(x - 1)(x - 3)(x + 5)$
- D.$(x + 1)(x - 3)(x - 5)$
-
2.For what value of $a$ is the polynomial $(2x^3 + ax^2 + 11x + a + 3)$ exactly divisible by $(2x - 1)$?
- A.$a = 7$
- B.$a = -7$
- C.$a = 14$
- D.$a = -14$
-
3.Find the value of $k$ if $(x - 2)$ is a factor of $x^{3} + 2x^{2} - kx + 10$.
- A.11
- B.13
- C.15
- D.-13
-
4.What is the value of the polynomial $3x^{3} + 7x^{2} + 11x - 1$ at $x = 1$?
- A.20
- B.30
- C.-30
- D.-8
-
5.Given that $(x - 2)$ is a factor of $2x^3 + ax^2 + bx - 14$ and dividing the expression by $(x - 3)$ leaves a remainder of 52, what are the values of $a$ and $b$?
- A.$a = 5$, $b = -11$
- B.$a = -5$, $b = 11$
- C.$a = 3$, $b = -7$
- D.$a = -3$, $b = 7$
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test