Monomial times Polynomial (no simplifying)

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 is a polynomial?

Back

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

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across terms inside parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, use the distributive property to multiply the monomial by each term in the polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of -8x(4x^2 - 9x + 12)?

Back

-32x^3 + 72x^2 - 96x.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of -5x^3(2x^2 - 6x + 8)?

Back

-10x^5 + 30x^4 - 40x^3.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of -3x^2(7x^2 - x + 4)?

Back

-21x^4 + 3x^3 - 12x^2.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of -6(x - 3)?

Back

-6x + 18.

Tags

CCSS.6.EE.A.3

Front

What is the result of 3a(5a^2 + 8a + 2)?

Back

15a^3 + 24a^2 + 6a.

Tags

CCSS.HSA.APR.A.1

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.