Question

What is the degree of the polynomial
of 5x2y + 8xy2 +9?
19
25
3 8
4,3
5:57 pm​

Answer 1

Given :- What is the degree of the polynomial of 5x²y + 8xy² +9?*

1️⃣ 9

2️⃣ 5

3️⃣ 8

4️⃣ 3

Answer :-

we know that,

• Degree of a polynomial = Highest power .
• Degree of a monomial with more than one variable for same term = Add the exponents of each variable .

so,

→ Degree of 5x²y = x²y¹ = (2 + 1) = 3

→ Degree of 8xy² = x¹y² = (1 + 2) = 3

→ Degree of 9 = constant term = 0

therefore, we can conclude that, the degree of the polynomial (highest degree) is 3 . (option 4) (Ans.)

Learn more :-

*Which of the given numbers are in continued proportion?*

1️⃣ (2,4,8)

2️⃣ (1,2,3)

3️⃣ (6,9,8)

4️⃣ (3,5,8)

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The degree of the polynomial

$\sf{5 {x}^{2}y + 8x {y}^{2} + 9}$

1. 9

2. 5

3. 8

4. 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

$\sf{5 {x}^{2}y + 8x {y}^{2} + 9}$

In the given polynomial the variables are x and y

Now

In first term :

Exponent of x + Exponent of y

= 2 + 1

= 3

In second term :

Exponent of x + Exponent of y

= 1 + 2

= 3

In third term :

There is no variable

So we observe that in both the term

Exponent of x + Exponent of y = 3

Hence degree of the polynomial = 3

FINAL ANSWER

Hence the correct option is 4. 3

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