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.When the polynomial $2x^{3} - kx^{2} + (5k - 3)x - 8$ is divided by $x - 2$, the remainder is 14. Find the value of 'k'.
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2.Without actual division, find the remainder when the polynomial $p(x) = 9x^2 - 6x + 2$ is divided by $(3x - 2)$. What is the value of the remainder?
- A.0
- B.2
- C.4
- D.-2
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3.Find the value of $a$, if $x - 2$ is a factor of $2x^5 - 6x^4 - 2ax^3 + 6ax^2 + 4ax + 8$.
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4.What is the remainder when $2x^{3} - 3x^{2} + 7x - 8$ is divided by $x - 1$?
- A.$-1$
- B.$0$
- C.$-2$
- D.$2$
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5.Given that $x + 2$ and $x + 3$ are factors of $2x^3 + ax^2 + 7x - b$, determine the values of $a$ and $b$. Which of the following is correct?
- A.$a = 7$, $b = 12$
- B.$a = 9$, $b = 6$
- C.$a = 5$, $b = 8$
- D.$a = 11$, $b = 4$
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