Question

Answer the questions. If anyone answer it then I will mark them as brilliant​

Answer 1

1. Fill in the blanks :

(i) The degree of a non - zero constant polynomial is $\sf\:zero$ .

Explanation :

A non zero constant polynomial is of the form $\sf\:f(x)=c$ where , c is a non zero real number .

If 5 be a non - zero constant polynomial then it could be written as $\sf\:5x^{0}$ . Clearly the highest degree of this polynomial is 0 ( zero ) .

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(ii) A polynomial having three terms is called $\sf\:trinomial$ .

Example :

• $\sf\:4x^{2} +2x +7$ it has three terms i.e., $\sf\:4x^{2}$ , $\sf\:2x$ and $\sf\:7$ , therefore this polynomial is known as trinomial.

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(iii) A polynomial of degree two is called a $\sf\:quadratic$ polynomial.

Example :

• $\sf\:2x^{2} +7$ it has highest power as 2 , therefore this polynomial is known as quadratic polynomial .

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(iv) A polynomial of degree $\sf\:one$ is called a linear polynomial.

Example :

• 5x + 2 is a linear polynomial since its highest degree is 1 .

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2. Find the degree of each of the following polynomials :

(i) $\sf\:t^{5}-t^{4}+5$

• Highest degree here = 5 .

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(ii) $\sf\:2x^{8}+y^{3}-y^{2}+2$

• Highest degree here = 8 .

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(iii) $\sf\:2x$

• Highest degree here = 1 .

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(iv) $\sf\:2$

• Highest degree here = 1 .

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3. Classify the following polynomials as monomial, binomial or trinomial :

(i) $\sf\:5x^{2} -3x^{2} +6$

• It's a Trinomial since it has three terms.

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(ii) 7

• It's a monomial since it has only one term.

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(iii) $\sf\:1 -x^{3}$

• It's a binomial since it has two terms.

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(iv) 38

• It's a monomial since it has only one term.

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(v) $\sf\:7x^{2}$

• It's a monomial since it has only one term.

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4. Write the coefficient of ' x ' in the following polynomial :

(i) $\sf\:4x^{2}-\frac{3}{2} x-7$

• Here the coefficient of x is $\sf\:(-\frac{3}{2})$ .

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(ii) $\sf\:\sqrt{5}x$

• Here the coefficient of x is $\sf\:\sqrt{5}$ .

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(iii) $\sf\:2x$

• Here the coefficient of x is $\sf\:2$ .

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(iv) $\sf\:18x^{15}-x^{10}+2x$

• Here the coefficient of x is $\sf\:2$ .

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!! Hope it helps !!