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

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

Back

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

Front

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

Back

16x² - 4

Front

Multiply: (2x + 3)(x² + 4x + 1)

Back

2x³ + 11x² + 14x + 3

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

Front

Multiply: (5e + 2)(e² - 3e + 6)

Back

5e³ - 13e² + 24e + 12

Front

Multiply: (3x - 2)(6x + 1)

Back

18x² - 9x - 2

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.