Multiplying Polynomials

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

Back

2x² + 3x - 2

Front

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

Back

x² + 5x + 6

Front

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

Back

x² + 5x - 14

Front

Multiply: (x - 3)(x + 10)

Back

x² + 7x - 30

Front

What is the degree of a polynomial?

Back

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

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor that multiplies a variable in a polynomial.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.