Give an example of a polynomial, which is: (i) monomial of degree 1 (ii) binomial of degree 20 (iii)

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2. Polynomials

medium

Give an example of a polynomial, which is:

$(i)$ monomial of degree $1$

$(ii)$ binomial of degree $20$

$(iii)$ trinomial of degree $2$

Option A

Option B

Option C

Option D

Solution

We know that a polynomial having only one term is called a monomial, a polynomial having only two terms is called binomial, a polynomial having only three terms is called a trinomial.

$(i)$ $3 x$ is monomial of degree $1 .$

$(ii)$ $x^{20}-7$ is a binomial of degree $20 .$

$(iii)$ $5 x^{2}+3 x-1$ is a trinomial of degree $2 .$

Standard 9

Mathematics

Determine the degree of each of the following polynomials:

$2 x-1$

easy

If $x-2$ is a factor of $x^{3}-3 x^{2}+a x+24$ then $a=\ldots \ldots \ldots$

easy

If $x+5$ is a factor of $x^{3}+13 x^{2}+a x+35$ find the value of $a$.

medium

Factorise :

$x^{3}+x^{2}-4 x-4$

medium

For $p(x)=x^{3}+9 x^{2}+26 x+24$ $p(-2)=\ldots \ldots \ldots$

easy

Give an example of a polynomial, which is: $(i)$ monomial of degree $1$ $(ii)$ binomial of degree $20$ $(iii)$ trinomial of degree $2$

Solution

Similar Questions

Determine the degree of each of the following polynomials: $2 x-1$

If $x-2$ is a factor of $x^{3}-3 x^{2}+a x+24$ then $a=\ldots \ldots \ldots$

If $x+5$ is a factor of $x^{3}+13 x^{2}+a x+35$ find the value of $a$.

Factorise : $x^{3}+x^{2}-4 x-4$

For $p(x)=x^{3}+9 x^{2}+26 x+24$ $p(-2)=\ldots \ldots \ldots$

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Give an example of a polynomial, which is:

$(i)$ monomial of degree $1$

$(ii)$ binomial of degree $20$

$(iii)$ trinomial of degree $2$

Determine the degree of each of the following polynomials:

$2 x-1$

Factorise :

$x^{3}+x^{2}-4 x-4$