Question

Write the degree of the polynomial :

4z3

– 3z5

+ 2z4

+ z + 1

Answer 1

Step-by-step explanation:

Given:

$4 {z}^{3} - 3 {z}^{5} + 2 {z}^{4} + z + 1$

To find: Degree of polynomial

Solution:

Degree of polynomial is highest power of variable in which the polynomial is written.

So,

first of all one have to write the polynomial in in ascending power of z.

$- 3 {z}^{5} + 2{z}^{4} + 4{z}^{3} + z + 1$

Thus,

one can easily identify the the degree of polynomial.

In this case the degree of polynomial is 5 .

Hope it helps you.

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Answer 2

SOLUTION

TO DETERMINE

The degree of the polynomial

$\sf{4 {z}^{3} - 3 {z}^{5} + 2 {z}^{4} + z + 1 }$

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

$\sf{4 {z}^{3} - 3 {z}^{5} + 2 {z}^{4} + z + 1 }$

In the above polynomial variable is z

The highest power of its variable ( z ) that appears with nonzero coefficient is 5

Hence the degree of the polynomial is 5

FINAL ANSWER

The degree of the polynomial is 5

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