Classifying Polynomials Quiz

Authored by Johnathon Feagin

Mathematics

9th - 12th Grade

CCSS covered

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MATH RESPONSE QUESTION

2 mins • 1 pt

Rewrite the polynomial in standard form.
$7y+9s-6a-4x$

Hint: Alphabetical Order!

$-6a+9s-4x+7y$

Mathematical Equivalence

OFF

Tags

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many terms are in this polynomial?
$6a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+4$

Answer explanation

The polynomial has 5 distinct terms: 6a^2bx^4y^2, -7ab^2x^3y^2, 8b^3x^2y^5z, -3xyz, and 4. Each term is separated by a '+' or '-' sign, confirming the total count as 5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of this polynomial?
$6a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+4$

9th-degree

8th-degree

11th-degree

3rd-degree

Answer explanation

To find the degree of the polynomial, identify the term with the highest total exponent. The term 8b^3x^2y^5z has a total exponent of 1+3+2+5=11, making it the highest. Thus, the polynomial is 11th-degree.

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant term of this polynomial?
$6a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+4$

$4$

$-7$

$8$

$-3$

$6$

Answer explanation

The constant term in the polynomial is the term that does not contain any variables. In this case, the only term without variables is '4', making it the constant term.

MATH RESPONSE QUESTION

2 mins • 1 pt

Rewrite the polynomial in standard form.
$6x-5+x^3-3x^2$

$x^3-3x^2+6x-5$

Mathematical Equivalence

OFF

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many terms for the expression below?
$6x-5+x^3-3x^2$

Answer explanation

The expression 6x - 5 + x^3 - 3x^2 has four distinct terms: 6x, -5, x^3, and -3x^2. Therefore, the correct answer is 4.

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Classify the expression by the degree?
$6x-5+x^3-3x^2$

quadratic (2nd degree)

quartic (4th degree)

linear (1st degree)

cubic (3rd degree)

Answer explanation

The expression 6x - 5 + x^3 - 3x^2 has a highest degree term of x^3, which indicates it is a cubic expression. Therefore, the correct classification is cubic (3rd degree).

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Classify the expression by the number of terms?
$6x-5+x^3-3x^2$

monomial

polynomial

binomial

trinomial

Answer explanation

The expression 6x - 5 + x^3 - 3x^2 has four terms: 6x, -5, x^3, and -3x^2. Since it has more than three terms, it is classified as a polynomial. Therefore, the correct answer is 'polynomial'.

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant term in the expression?
$6x-5+x^3-3x^2$

$-5$

$x^3$

$-3$

$6$

$5$

Answer explanation

The constant term in the expression 6x - 5 + x^3 - 3x^2 is the term that does not contain any variable. Here, -5 is the only term without 'x', making it the constant term.

Tags

CCSS.6.EE.A.2B

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Classifying Polynomials

Rewrite the polynomial in standard form. 7y+9s−6a−4x7y+9s-6a-4x7y+9s−6a−4x Hint: Alphabetical Order!

How many terms are in this polynomial? 6a2bx4y2−7ab2x3y2+8b3x2y5z−3xyz+46a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+46a2bx4y2−7ab2x3y2+8b3x2y5z−3xyz+4

The polynomial has 5 distinct terms: 6a^2bx^4y^2, -7ab^2x^3y^2, 8b^3x^2y^5z, -3xyz, and 4. Each term is separated by a '+' or '-' sign, confirming the total count as 5.

What is the degree of this polynomial? 6a2bx4y2−7ab2x3y2+8b3x2y5z−3xyz+46a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+46a2bx4y2−7ab2x3y2+8b3x2y5z−3xyz+4

To find the degree of the polynomial, identify the term with the highest total exponent. The term 8b^3x^2y^5z has a total exponent of 1+3+2+5=11, making it the highest. Thus, the polynomial is 11th-degree.

What is the constant term of this polynomial? 6a2bx4y2−7ab2x3y2+8b3x2y5z−3xyz+46a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+46a2bx4y2−7ab2x3y2+8b3x2y5z−3xyz+4

The constant term in the polynomial is the term that does not contain any variables. In this case, the only term without variables is '4', making it the constant term.

Rewrite the polynomial in standard form. 6x−5+x3−3x26x-5+x^3-3x^26x−5+x3−3x2

How many terms for the expression below? 6x−5+x3−3x26x-5+x^3-3x^26x−5+x3−3x2

The expression 6x - 5 + x^3 - 3x^2 has four distinct terms: 6x, -5, x^3, and -3x^2. Therefore, the correct answer is 4.

Classify the expression by the degree? 6x−5+x3−3x26x-5+x^3-3x^26x−5+x3−3x2

The expression 6x - 5 + x^3 - 3x^2 has a highest degree term of x^3, which indicates it is a cubic expression. Therefore, the correct classification is cubic (3rd degree).

Classify the expression by the number of terms? 6x−5+x3−3x26x-5+x^3-3x^26x−5+x3−3x2

The expression 6x - 5 + x^3 - 3x^2 has four terms: 6x, -5, x^3, and -3x^2. Since it has more than three terms, it is classified as a polynomial. Therefore, the correct answer is 'polynomial'.

What is the constant term in the expression? 6x−5+x3−3x26x-5+x^3-3x^26x−5+x3−3x2

The constant term in the expression 6x - 5 + x^3 - 3x^2 is the term that does not contain any variable. Here, -5 is the only term without 'x', making it the constant term.

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Discover more resources for Mathematics

Rewrite the polynomial in standard form.
$7y+9s-6a-4x$

Hint: Alphabetical Order!

How many terms are in this polynomial?
$6a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+4$

What is the degree of this polynomial?
$6a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+4$

What is the constant term of this polynomial?
$6a^2bx^4y^2-7ab^2x^3y^2+8b^3x^2y^5z-3xyz+4$

Rewrite the polynomial in standard form.
$6x-5+x^3-3x^2$

How many terms for the expression below?
$6x-5+x^3-3x^2$

Classify the expression by the degree?
$6x-5+x^3-3x^2$

Classify the expression by the number of terms?
$6x-5+x^3-3x^2$

What is the constant term in the expression?
$6x-5+x^3-3x^2$