Multiplying a polynomial by a monomial

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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.

Front

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

Back

Multiplying a polynomial by a monomial involves distributing the monomial to each term of the polynomial.

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 inside a parenthesis.

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CCSS.6.EE.A.3

Front

Multiply: 3x(2x^2 + 4x + 5)

Back

6x^3 + 12x^2 + 15x

Tags

CCSS.HSA.APR.A.1

Front

Multiply: 4a(3a^3 + 2a^2 - a)

Back

12a^4 + 8a^3 - 4a^2

Tags

CCSS.HSA.APR.A.1

Front

What is the area of a rectangle with length (4x^3 + 8) and width 5x?

Back

20x^4 + 40x

Tags

CCSS.HSA.APR.A.1

Front

Simplify: 2y(3y^2 + 5y + 7)

Back

6y^3 + 10y^2 + 14y

Tags

CCSS.HSA.APR.A.1

Front

Multiply: 5x(4x^3 + 8)

Back

20x^4 + 40x

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying a monomial by a polynomial?

Back

The result is a new polynomial where each term of the polynomial is multiplied by the monomial.

Tags

CCSS.HSA.APR.A.1