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
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1.The expression $2x^3 + ax^2 + bx - 2$ leaves remainder 7 and 0 when divided by $2x - 3$ and $x + 2$ respectively. What are the values of $a$ and $b$?
- A.a = 3, b = -3
- B.a = -3, b = 3
- C.a = 2, b = -4
- D.a = -2, b = 4
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2.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 $x - 2$.
- A.7
- B.0.3
- C.-7
- D.1.5
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3.Find the remainder obtained on dividing $f(x) = x^{2} - 5x + 8$ by $x - 2$.
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4.The polynomial $x^3 - ax^2 + bx - 6$ leaves a remainder of $-8$ when divided by $x - 1$, and $x - 2$ is a factor of it. What are the values of $a$ and $b$?
- A.a = 2, b = 5
- B.a = -2, b = -5
- C.a = 1, b = -4
- D.a = -3, b = 0
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5.Show that $(x - 3)$ is a factor of $(2x^3 - 3x^2 - 11x + 6)$. Given that $(x - 3)$ is a factor, which of the following is the complete factorization of $(2x^3 - 3x^2 - 11x + 6)$?
- A.$(x - 3)(x + 2)(2x + 1)$
- B.$(x - 3)(x + 2)(2x - 1)$
- C.$(x - 3)(2x + 1)(2x - 1)$
- D.$(x - 3)(x - 2)(2x - 1)$
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