Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Factorise x3 − 6x2 + 11x − 6 completely.
4 marksMediumNumerical
ICSE question bank
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15 questions
- 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
- Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Find the value of a if (x + 2) is a factor of 2x3 + ax2 + 11x + a + 3.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Find the remainder when x3 − 3x2 + 4x − 5 is divided by (x − 2).
2 marksEasyNumerical
- Answer available
Class 10 · Mathematics · Factorisation of Polynomials
Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6, and hence factorise the polynomial completely.
3 marksMediumStructured