Multiplying Monomials and Polynomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What does it mean to multiply a monomial by a polynomial?

Back

Multiplying a monomial by a polynomial involves distributing the monomial to each term of the polynomial and combining like terms.

Tags

CCSS.HSA.APR.A.1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum.

Tags

CCSS.6.EE.A.3

Front

Calculate: 10x(2x^2 + 3x + 4)

Back

20x^3 + 30x^2 + 40x

Tags

CCSS.HSA.APR.A.1

Front

Calculate: 5x(5x + 5)

Back

25x^2 + 25x

Tags

CCSS.HSA.APR.A.1

Front

Calculate: -5x^6(3x^2 - 12x + 30)

Back

-15x^8 + 60x^7 - 150x^6

Tags

CCSS.HSA.APR.A.1

Front

Calculate: 4m(3m^7 + 2m^5)

Back

12m^8 + 8m^6

Tags

CCSS.HSA.APR.A.1

Front

Calculate: 10x(x + 2)

Back

10x^2 + 20x

Tags

CCSS.HSA.APR.A.1

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial, representing how many times the variable is multiplied.

Tags

CCSS.6.EE.A.2B