Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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 combine each term in one polynomial with each term in another polynomial.

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.

Front

Multiply: (x + 7)(x + 9)

Back

x² + 16x + 63

Front

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

Back

x² + 5x - 14

Front

Simplify: 2x(-2x - 3)

Back

-4x² - 6x

Front

What is the difference of two polynomials?

Back

The difference of two polynomials is found by subtracting the corresponding coefficients of like terms.

Front

Find the difference: (3 - 2x + 2x²) - (4x - 5 + 3x²)

Back

-x² - 6x + 8

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.