Question

P(x)=x4+2x3+3x+7
Degree of
Polynomial:______?

Answer 1

SOLUTION

TO DETERMINE

The degree of the polynomial

$\sf{P(x) = {x}^{4} + 2 {x}^{3} + 3x + 7}$

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as 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.

EVALUATION

Here the given polynomial is

$\sf{P(x) = {x}^{4} + 2 {x}^{3} + 3x + 7}$

Now the highest power of its variable ( x ) that appears with nonzero coefficient is 4

Hence the required degree of the given polynomial is = 4

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