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Algebra 1 : How to find the degree of a polynomial

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Example Questions

Example Question #242 : Variables

What is the degree of the following polynomial?

$\displaystyle 12a^2 + 4b + c^5 -10x^8$

Possible Answers:

$\displaystyle 12$

$\displaystyle 5$

$\displaystyle 10$

$\displaystyle 4$

$\displaystyle 8$

Correct answer:

$\displaystyle 8$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As eight is the highest exponent above, it is also the degree of the polynomial.

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Example Question #243 : Variables

What is the degree of the following polynomial?

$\displaystyle 12xy^6z + 34$

Possible Answers:

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 34$

$\displaystyle 6$

$\displaystyle 12$

Correct answer:

$\displaystyle 6$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As six is the highest exponent above, it is also the degree of the polynomial.

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Example Question #244 : Variables

What is the degree of the following polynomial?

$\displaystyle 12a +2b +3c +4d +u^8$

Possible Answers:

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 12$

$\displaystyle 3$

$\displaystyle 8$

Correct answer:

$\displaystyle 8$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As eight is the highest exponent above, it is also the degree of the polynomial.

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Example Question #245 : Variables

What is the degree of the following polynomial?

$\displaystyle r^3 + 2w + 6y -4$

Possible Answers:

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 6$

$\displaystyle 1$

$\displaystyle 4$

Correct answer:

$\displaystyle 3$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As three is the highest exponent above, it is also the degree of the polynomial.

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Example Question #246 : Variables

What is the degree of the following polynomial?

$\displaystyle 5t^5 + 2t -y^2 +18$

Possible Answers:

$\displaystyle 18$

$\displaystyle 5$

$\displaystyle 3$

$\displaystyle 2$

$\displaystyle 1$

Correct answer:

$\displaystyle 5$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As five is the highest exponent above, it is also the degree of the polynomial.

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Example Question #247 : Variables

What is the degree of the following polynomial?

$\displaystyle 2y + 3y + 5y + y^3 + y^2 + y &5$

Possible Answers:

$\displaystyle 5$

$\displaystyle 3$

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 1$

Correct answer:

$\displaystyle 5$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As five is the highest exponent above, it is also the degree of the polynomial.

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Example Question #248 : Variables

What is the degree of the following polynomial?

$\displaystyle 2a +3c +19m + 8mn + n^4$

Possible Answers:

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 19$

$\displaystyle 4$

Correct answer:

$\displaystyle 4$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As four is the highest exponent above, it is also the degree of the polynomial.

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Example Question #249 : Variables

What is the degree of the following polynomial?

$\displaystyle (2a + b)^2$

Possible Answers:

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 3$

Correct answer:

$\displaystyle 2$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As two is the highest exponent above, after squaring, it is also the degree of the polynomial.

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Example Question #250 : Variables

What is the degree of the following polynomial?

$\frac{10x^2+2x +1}{x - 5}$ $\displaystyle \frac{10x^2+2x +1}{x - 5}$

Possible Answers:

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 3$

$\displaystyle 5$

Correct answer:

$\displaystyle 2$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As two is the highest exponent above, it is also the degree of the polynomial.

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Example Question #251 : Variables

What is the degree of the polynomial? $\displaystyle y= -6x+3-5x^4-7+3x^2$

Possible Answers:

$\displaystyle 6$

$\displaystyle 1$

$\displaystyle 4$

$\displaystyle 7$

$\displaystyle -5$

Correct answer:

$\displaystyle 4$

Explanation:

Reorder the polynomial from the highest to least power.

$\displaystyle y= -5x^4+3x^2-6x-7+3$

The degree of the polynomial is the highest power in the polynomial. The term

-5x^4 $\displaystyle -5x^4$ exhibits the highest degree of the polynomial.

The degree is $\displaystyle 4$.

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Algebra 1 : How to find the degree of a polynomial

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #242 : Variables

Example Question #243 : Variables

Example Question #244 : Variables

Example Question #245 : Variables

Example Question #246 : Variables

Example Question #247 : Variables

Example Question #248 : Variables

Example Question #249 : Variables

Example Question #250 : Variables

Example Question #251 : Variables

All Algebra 1 Resources

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