Answer:

Give the degree of the polynomial.

6x5+5x4−3x2+x7

Possible Answers:

18

5

9

6

7

Correct answer:

7

Explanation:

6x5+5x4−3x2+x7

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7.

The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

Find The Degree Of A Polynomial : Example Question #2

What is the degree of the polynomial?

ab2+a2b3−a3b1

Possible Answers:

2

5

4

3

Correct answer:

5

Explanation:

ab2+a2b3−a3b1

To find the degree of the polynomial, you first have to identify each term [term is for example ab2], so to find the degree of each term you add the exponents.

EX: ab2 =a1b2=1+2=3 - Degree of 3

Highest degree is 5→ a2b3=2+3=5

Find The Degree Of A Polynomial : Example Question #3

What is the degree of the polynomial?

12x2y3+6xy4z−2xz+1

Possible Answers:

1

0

12

3

6

Correct answer:

6

Explanation:

To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

12x2y3: 2 + 3 = 5

6xy4z: 1 + 4 + 1 = 6

2xz: 1 + 1 = 2

The degree is therefore 6.

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Find The Degree Of A Polynomial : Example Question #4

x5+x3+x2+x+1

What is the degree of the polynomial?

Possible Answers:

11

5

3

2

4

Correct answer:

5

Explanation:

The degree is the highest exponent value of the variables in the polynomial.

Here, the highest exponent is x5, so the degree is 5.

Find The Degree Of A Polynomial : Example Question #5

Which of the following depicts an equation in standard form?

Possible Answers:

6+5x+3x4+2x2+x3

2+6x+x2+x4

x4+x2+6x−2

x3+2x2+3x4+5x+6

None of the other answers are correct.

Correct answer:

x4+x2+6x−2

Explanation:

A polynomial in standard form is written in descending order of the power. The highest power should be first, and the lowest power should be last.

x4+x2+6x−2

The answer has the powers decreasing from four, to two, to one, to zero