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.Find the value of $a$ if the two polynomials $ax^3 + 3x^2 - 9$ and $2x^3 + 4x + a$ leave the same remainder when divided by $x + 3$.
- A.1
- B.3
- C.-3
- D.0
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2.The polynomials $3x^3 - ax^2 + 5x - 13$ and $(a + 1)x^2 - 7x + 5$ leave the same remainder when divided by $x - 3$. Find the value of 'a'.
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3.Show that $(3x + 2)$ is a factor of $(6x^3 + 13x^2 - 4)$. Which of the following is the complete factorization of $(6x^3 + 13x^2 - 4)$?
- A.$(3x + 2)(x + 2)(2x - 1)$
- B.$(3x + 2)(2x^2 + 3x - 2)$
- C.$(3x - 2)(2x + 1)(x + 2)$
- D.$(6x^2 + x - 2)(x + 2)$
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4.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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5.If dividing $2x^{3} + 3x^{2} - kx + 5$ by $x - 2$, we get a remainder 7, then the value of $k$ is:
- A.13
- B.-13
- C.26
- D.-26
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