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 in 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

What is the formula for multiplying two binomials?

Back

(a + b)(c + d) = ac + ad + bc + bd.

Front

Calculate (2x - 3)(2x + 3).

Back

4x² - 9.

Front

Calculate (x + 5)(x + 4).

Back

x² + 9x + 20.

Front

Calculate (3x - 6)(7x + 7).

Back

21x² - 21x - 42.

Front

Calculate (x - 5)(x + 1).

Back

x² - 4x - 5.

Front

Calculate (4x + 1)(5x - 2).

Back

20x² - 3x - 2.