Question

*Write the degree of polynomial x⁵ - 4x⁶- 2x + 5.*

1️⃣ 5
2️⃣ 6
3️⃣ 2
4️⃣ 0​

Answer 1

Given : polynomial x⁵ - 4x⁶- 2x + 5

To Find : Degree

1️⃣ 5

2️⃣ 6

3️⃣ 2

4️⃣ 0​

Solution:

polynomial x⁵ - 4x⁶- 2x + 5

= -4x⁶ +  x⁵ - 2x + 5

Degree of a polynomial is the highest power of variable in the polynomial

degree of a polynomial specifies number of roots an equation can have.

The number of roots of an equation is equal to its degree.

Here highest power is 6

Hence degree of polynomial x⁵ - 4x⁶- 2x + 5  is 6

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Write the degree of polynomial

$\sf{ {x}^{5} - 4 {x}^{6} - 2x + 5}$

1. 5

2. 6

3. 2

4. 0

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

$\sf{ {x}^{5} - 4 {x}^{6} - 2x + 5}$

Now the rearranging the terms of the polynomial in descending power of x we get

$\sf{ - 4 {x}^{6} + {x}^{5} - 2x + 5}$

So the variable is x and the highest power of its variable that appears with nonzero coefficient is 6

Hence the degree of the polynomial = 6

FINAL ANSWER

Hence the correct option is 2. 6

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