Multiplying Polynomials Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

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

Back

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

Front

Multiply: (2x - 1)(x + 5)

Back

2x^2 + 9x - 5

Front

Simplify: -3x^2(7x^2 - x + 4)

Back

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

Front

Multiply: 3x(2x^2 + 9x + 6)

Back

6x^3 + 27x^2 + 18x

Front

Multiply: (8m - 2)(8m + 2)

Back

64m^2 - 4

Front

What is a polynomial?

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x^2 or -3.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, such as x^2 + 3x + 2.