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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #8 : How To Find The Degree Of A Polynomial

What is the degree of following polynomial?

$400z^{4} + 3z^{7} - 25z + 312$ $\displaystyle 400z^{4} + 3z^{7} - 25z + 312$

Possible Answers:

$\displaystyle 25$

$\displaystyle 4$

$\displaystyle 1$

$\displaystyle 7$

400 $\displaystyle 400$

Correct answer:

$\displaystyle 7$

Explanation:

The degree of a polynomial with a single variable (in our case, $\displaystyle z$), simply find the largest exponent of that variable within the expression. The term $3z^{7}$ $\displaystyle 3z^{7}$ shows $\displaystyle z$ being raised to the seventh power, and no other $\displaystyle z$ in this expression is raised to anything larger than seven. Therefore, the degree of this expression is $\displaystyle 7$.

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Example Question #9 : How To Find The Degree Of A Polynomial

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

Possible Answers:

$\displaystyle 1$

$\displaystyle 5$

$\displaystyle 3$

$\displaystyle 4$

$\displaystyle 2$

Correct answer:

$\displaystyle 5$

Explanation:

The polynomial has more than one variable. The degree of the polynomial is the largest sum of the exponents of ALL variables in a term.

The first term is $-x^{3}y^{2}$ $\displaystyle -x^{3}y^{2}$.

The degree of this term is 3+2=5 $\displaystyle 3+2=5$

The second term is $2x^{4}$ $\displaystyle 2x^{4}$.

The degree of this term is $\displaystyle 4$.

The degree of the polynomial is the largest of these two values, or $\displaystyle 5$.

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Example Question #1 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?

$x^{2} + 3x^{7} - 5$ $\displaystyle x^{2} + 3x^{7} - 5$

Possible Answers:

$\displaystyle 5$

$\displaystyle 7$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 1$

Correct answer:

$\displaystyle 7$

Explanation:

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

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Example Question #4431 : Algebra 1

What is the degree of the following polynomial?

$\displaystyle 10x^2 -58x + 12$

Possible Answers:

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 58$

$\displaystyle 12$

$\displaystyle 10$

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 #4432 : Algebra 1

What is the degree of the following polynomial?

$\displaystyle 3x +4 y + 5z +6$

Possible Answers:

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 1$

$\displaystyle 3$

Correct answer:

$\displaystyle 1$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. As one is the highest exponent above (remember a variable with no visible exponent is being raised to the power one), it is also the degree of the polynomial.

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Example Question #4433 : Algebra 1

What is the degree of the following polynomial?

$\displaystyle 10x^2 + 2y^4 +32z^8$

Possible Answers:

$\displaystyle 4$

$\displaystyle 8$

$\displaystyle 10$

$\displaystyle 2$

$\displaystyle 32$

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 #4434 : Algebra 1

What is the degree of the following polynomial?

$\displaystyle 10x^2y^5z^8 + 2xyz$

Possible Answers:

$\displaystyle 5$

$\displaystyle 15$

$\displaystyle 9$

$\displaystyle 2$

$\displaystyle 8$

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 #4435 : Algebra 1

What is the degree of the following polynomial?

$\displaystyle 10ab^2 +32a - b - 12$

Possible Answers:

$\displaystyle 12$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 10$

$\displaystyle 32$

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 #4436 : Algebra 1

What is the degree of the following polynomial?

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

Possible Answers:

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 6$

$\displaystyle 1$

$\displaystyle 8$

Correct answer:

$\displaystyle 4$

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression. At a glance, it appears that two is the highest exponent, however, because the whole polynomial is being squared, the highest exponent (and the exponent of all variables above) is actually four.

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Example Question #4437 : Algebra 1

What is the degree of the following polynomial?

$\displaystyle 3xyz + 14an + 7u +18y$

Possible Answers:

$\displaystyle 14$

$\displaystyle 18$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 7$

Correct answer:

$\displaystyle 1$

Explanation:

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

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #8 : How To Find The Degree Of A Polynomial

Example Question #9 : How To Find The Degree Of A Polynomial

Example Question #1 : How To Find The Degree Of A Polynomial

Example Question #4431 : Algebra 1

Example Question #4432 : Algebra 1

Example Question #4433 : Algebra 1

Example Question #4434 : Algebra 1

Example Question #4435 : Algebra 1

Example Question #4436 : Algebra 1

Example Question #4437 : Algebra 1

All Algebra 1 Resources

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