Question

Degree of the polynomial 7x5 + 8x2 - 5x + 3 is:

Answer 1

the degree of polynomial 7x5 + 8x2 - 5x + 3 is 5 .

Answer 2

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TO DETERMINE

The degree of the polynomial

$\sf{ 7 {x}^{5} + 8 {x}^{2} - 5x + 3 \: }$

DEFINITION TO BE MEMORISED

POLYNOMIAL

Polynomial is A mathematical expression consisting of constants, variables and exponents, that can be combined using addition, subtraction, multiplication

DEGREE OF A POLYNOMIAL

Degree of a polynomial to be the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

CALCULATION

Here the polynomial is

$\sf{ 7 {x}^{5} + 8 {x}^{2} - 5x + 3 \: }$

The variable is x

Now the highest power of its variable x that appears with nonzero coefficient is 5

Hence the degree of the polynomial is 5

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