(C) polynomial is classified based on its degree (the highest power of the variable).For the given polynomial $p(x) = x^{3} + 5x^{2} + 12$,the highest

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(C) polynomial is classified based on its degree (the highest power of the variable).For the given polynomial $p(x) = x^{3} + 5x^{2} + 12$,the highest power of the variable $x$ is $3$.$A$ polynomial of degree $3$ is known as a cubic polynomial.Therefore,$x^{3} + 5x^{2} + 12$ is a cubic polynomial.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

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Classify the following as linear,quadratic,or cubic polynomial: $x^{3} + 5x^{2} + 12$.

A
Linear polynomial
B
Quadratic polynomial
C
Cubic polynomial
D
None of these

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Factorise $x^{3}+8x^{2}+9x-18$.

Medium

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From the following polynomials,find out which of them has $(x-1)$ as a factor:
$p(x) = 2x^3 + 5x^2 - x - 6$

Medium

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Factorise: $a^{3} - 2\sqrt{2}b^{3}$

Easy

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Using the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 6$.

Easy

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Find the following product:
$(x^{2}-1)(x^{4}+x^{2}+1)$

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Classify the following as linear,quadratic,or cubic polynomial: $x^{3} + 5x^{2} + 12$.

Similar Questions

Factorise $x^{3}+8x^{2}+9x-18$.

From the following polynomials,find out which of them has $(x-1)$ as a factor:$p(x) = 2x^3 + 5x^2 - x - 6$

Factorise: $a^{3} - 2\sqrt{2}b^{3}$

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 6$.

Find the following product: $(x^{2}-1)(x^{4}+x^{2}+1)$

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From the following polynomials,find out which of them has $(x-1)$ as a factor:
$p(x) = 2x^3 + 5x^2 - x - 6$

Find the following product:
$(x^{2}-1)(x^{4}+x^{2}+1)$