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CBSE - Class 9 Mathematics Polynomials Worksheet

Factorise :
(ii) $x^3 – 3x^2 – 9x – 5$

Find the zero of the polynomial in each of the following cases:
(v) $p(x) = 3x$

Determine which of the following polynomials has $(x + 1)$ a factor :
(iii) $x^4 + 3x^3 + 3x^2 + x + 1$

Find the zero of the polynomial in each of the following cases:
(vi) $p(x) = ax, a \neq 0$

If f(x) = x² - 5x + 1, then the value of f(2) + f(-1) is

-1

-2

Verify whether the following are zeroes of the polynomial, indicated against them.
(iv) $p(x) = (x + 1) (x – 2), x = – 1, 2$

Factorise each of the following:
(iii) $27 – 125a^3 – 135a + 225a^2$

Factorise the following using appropriate identities:
(i) $9x^2 + 6xy + y^2$

Factorise :
(iii) $x^3 + 13x^2 + 32x + 20$

10.

Classify the following as linear, quadratic and cubic polynomials:
(iii) $y + y^2 + 4$

11.

Find the value of the polynomial $5x – 4x^2 + 3$ at
(i) $x = 0$

12.

Factorise :
(iv) $2y^3 + y^2 – 2y – 1$

13.

Determine which of the following polynomials has $(x + 1)$ a factor :
(ii) $x^4 + x^3 + x^2 + x + 1$

14.

Write the following cubes in expanded form:
(iv) $(x - \frac{2}{3}y)^3$

15.

Find the value of the polynomial $5x – 4x^2 + 3$ at
(ii) $x = –1$

16.

Use suitable identities to find the following products:
(i) $(x + 4) (x + 10)$

17.

Classify the following as linear, quadratic and cubic polynomials:
(v) $3t$

18.

Find the zero of the polynomial in each of the following cases:
(iv) $p(x) = 3x – 2$

19.

Determine which of the following polynomials has $(x + 1)$ a factor :
(i) $x^3 + x^2 + x + 1$

20.

Write the following cubes in expanded form:
(iii) $(\frac{3}{2}x + 1)^3$

Worksheet Answers

Option C

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