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.If $(x - 2)$ and $(x + 3)$ are factors of the quadratic polynomial $x^2 + (a + 1)x + b$, then find the value of $a$ and $b$.
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2.The remainder when $f(x) = x^2 - 5x + 7$ is divided by $x - 1$, is:
- A.3
- B.8
- C.4
- D.12
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3.Two polynomials $ax^3 + 3x^2 - 9$ and $2x^3 + 4x + a$ leave the same remainder when divided by $x + 3$. What is the value of $a$?
- A.$a = 3$
- B.$a = 2$
- C.$a = -3$
- D.$a = 1$
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4.Find the number that must be subtracted from the polynomial $3y^3 + y^2 - 22y + 15$, so that the resulting polynomial is completely divisible by $y + 3$.
- A.3
- B.9
- C.-9
- D.6
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5.What is the remainder obtained on dividing $f(x) = 6x^{3} - 3x^{2} - 8x + 7$ by $x - 2$?
- A.-37
- B.27
- C.37
- D.-27
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