Question

The greatest index of the variables in the given polynomial is called the ______of the polynomial
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Answer 1

The greatest index of the variables in the given polynomial is called the Degree of the polynomial

Answer 2

The greatest index of the variables in the given polynomial is called the degree of the polynomial

Given :

The greatest index of the variables in the given polynomial is called the ______of the polynomial

To find :

To fill in the blank

Solution :

Step 1 of 2 :

Define degree of 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

Now Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

Step 2 of 2 :

Fill in the blank

Let us consider the polynomial

P(m) = 3m⁵ + 5m³ - 7m + 2

Then the variable is m

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

So degree of the polynomial is 5

Hence we can conclude that the greatest index of the variables in the given polynomial is called the degree of the polynomial

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