Class 10 · ICSE · Mathematics

Factorisation of Polynomials

Remainder theorem and factor theorem, and factorising polynomials of degree three.

Questions: 15
PYQs: 0
Topics: 2

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Remainder Theorem1 Factor Theorem2

Questions

15 questions in this chapter.

Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Factorise x³ − 6x² + 11x − 6 completely.
4 marksMediumNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
State the factor theorem.
2 marksEasyShort answer
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Find the remainder when 2x³ + 3x² − 5x + 7 is divided by (x + 2).
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Factorise x³ − 7x + 6 completely.
4 marksMediumNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
If (x + 1) and (x − 2) are both factors of x³ + ax² − bx − 6, find a and b.
4 marksHardStructured
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Find k if x³ + kx² − 3x + 6 leaves a remainder of 10 when divided by (x − 2).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Find the value of a if (x − 2) is a factor of x³ + ax² + 2x − 8.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Show that (x − 3) is a factor of x³ − 2x² − 5x + 6.
2 marksMediumNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
If (x + 2) is a factor of f(x), then:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
The remainder when x³ + 2x² − x + 1 is divided by (x − 1) is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Factorise 2x³ + x² − 13x + 6 completely.
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Find the remainder when x³ + 3x² − 5x + 4 is divided by (2x − 1).
3 marksHardNumerical

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