Classifying Polynomials

Mathematical Equivalence

OFF

Tags

CCSS.HSA.SSE.B.3

• 2

• 5

• 3

• 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.

• 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

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.

Mathematical Equivalence

OFF

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• 3

• 5

• 4

• 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

• 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).

• 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

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