Degree Of Polynomial

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Quizzes Created: 1 | Total Attempts: 6,655

Questions: 10 | Attempts: 6,658 | Updated: Dec 23, 2024

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This quiz aims to let the student find the degree of each given polynomial. This can be given to Grade Six or First Year High School Students.

Questions and Answers

1.

I. State the degree in each of the following polynomials. 1) 2 - 5x

Explanation
The degree of a polynomial is the highest power of the variable in the polynomial. In the given polynomial 2 - 5x, the highest power of x is 1, since it is raised to the power of 1. Therefore, the degree of the polynomial is 1.

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13
2.

2) 4y + 3y³ - 2y² + 5

Explanation
The given expression is a polynomial with three terms: 4y, 3y^3, and -2y^2. When divided by 3, each term is divided by 3 individually. The result of dividing 4y by 3 is (4/3)y. The result of dividing 3y^3 by 3 is y^3. The result of dividing -2y^2 by 3 is (-2/3)y^2. Finally, the constant term 5 is also divided by 3, resulting in (5/3). Therefore, the expression simplifies to (4/3)y + y^3 - (2/3)y^2 + (5/3), which is the answer.

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1
3.

3) 12
4.

4) 0
5.

5) 2x + 5x³y + 2x²y³ - 5y

Explanation
The given expression is a polynomial with terms involving variables x and y. When we divide this polynomial by 5, each term is divided by 5. Since the constant term -5y is divisible by 5, the result is 5.

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4
6.

6) 3/4x

Explanation
The given expression is 3/4x. It can be simplified as (3/4) * x, which means multiplying 3/4 with x. When any number is multiplied by 1, the result is always the number itself. Therefore, when x is multiplied by 1, the answer will be x.

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1
7.

7) a³
8.

8) 12r³s
9.

9) 0.1h

Explanation
The given expression is 0.1h. It represents a decimal number (0.1) multiplied by a variable (h). When any number is multiplied by 1, the result is the number itself. Therefore, when 0.1 is multiplied by 1, the answer is 0.1. Hence, the correct answer is 1.

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1
10.

10) 5x³y⁴ + 10x⁴y⁵

Explanation
The given expression is a polynomial consisting of two terms. The first term, 5x3y4, has a degree of 7 (3+4) and the second term, 10x4y5, has a degree of 9 (4+5). Since the expression is being divided by 9, we can simplify it by dividing each term by 9. Therefore, the answer is 9.

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2