Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Front

What is the distributive property?

Back

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

Front

Multiply: (5x + 2)(x^2 - 3x + 6)

Back

5x^3 - 13x^2 + 24x + 12

Front

Multiply: (2x - 3)(2x + 3)

Back

4x^2 - 9

Front

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

Back

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

Front

Multiply: (x + 3)(x + 7)

Back

x^2 + 10x + 21

Front

Multiply: (x - 3)(x^2 + 2x + 7)

Back

x^3 - x^2 + x - 21

Front

What is the degree of a polynomial?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.