7.2-7.3 Multiplying Polynomials and Special Products

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 combine each term in one polynomial with each term in another polynomial.

Front

What is the result of multiplying (a + b)(a - b)?

Back

The result is a² - b², known as the difference of squares.

Front

What is the formula for the square of a binomial (a + b)²?

Back

The formula is a² + 2ab + b².

Front

What is the formula for the square of a binomial (a - b)²?

Back

The formula is a² - 2ab + b².

Front

Multiply: (x + 4)(x - 2)

Back

x² + 2x - 8.

Front

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

Back

x² + 5x + 6.

Front

What is the result of (7r - 6)(7r + 6)?

Back

49r² - 36.

Front

Multiply: (4x + 3)(2x - 1)

Back

8x² + 2x - 3.

Front

What is the result of multiplying (3x - 5)(4x² - 2x - 3)?

Back

12x³ - 26x² + x + 15.