Question

what is the degree of the polynomial 2x square+5x cube+7​

Answer 1

Answer:

3

Step-by-step explanation:

degree of polynomial is highest exponent of variable . therefore degree of given polynomial is 3

Answer 2

SOLUTION

TO DETERMINE

The degree of the polynomial

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

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

EVALUATION

Here the given polynomial is

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

Which can be rewritten as

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

The variable is x

The highest power of its variable that appears with nonzero coefficient is 3

Hence degree of the polynomial = 3

FINAL ANSWER

The degree of the polynomial = 3

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