Question

Find the degree of the polynomial
5-x square +x cube

Answer 1

SOLUTION

TO DETERMINE

The degree of the polynomial

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

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

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

Now in the above polynomial the highest power of its variable ( x ) that appears with nonzero coefficient = 3

Hence the degree of the polynomial = 3

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