Question

Write the degree of the multinomial x^2 +2/x^3+7x+4

Answer 1

Answer:

It is polynomial so, degree doesn't exist

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Answer 2

The degree of multinomial is 2.

We have to write the degree of the multinomial,

 

$x^2+\frac{2}{x^3}+7x+4$

What is multinomial ?

• Multinomial is an algebraic expression which has more than two terms. for example, 5x² + 2x , is a multinomial having two terms.
• While a polynomial is an algebraic expression in two or more variables in which the power of every variable in each term is a whole number. for example, 5x² + 2x, is also a polynomial because the power of variable is whole number.

Here, expression is ..

$x^2+\frac{2}{x^3}+7x+4$

$x^2+2x^{-3}+7x+4$

The degree of multinomial is the highest power of a variable with non-zero coefficient.

Here, In the given expression, the highest power is 2.

Therefore the degree of multinomial is 2.

Also read similar questions : What is polynomial and what is difference between polynomial and multinomial?

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division of multinomial p(x) by another multinomial q(x)is possible only if the degree of p(x) > degree of q(x)

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