Unit 3 - Multiplying & Factoring Polynomials

Front

What is the formula for squaring a binomial?

Back

(a + b)² = a² + 2ab + b²

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the GCF (Greatest Common Factor) and how is it used in factoring?

Back

The GCF is the largest factor that divides all terms in a polynomial. It is factored out first to simplify the expression.

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

How do you factor a trinomial of the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.

Front

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

Back

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

Front

What is the process for multiplying polynomials?

Back

Distribute each term in the first polynomial to every term in the second polynomial.

Front

How do you identify the degree of a polynomial?

Back

The degree is the highest exponent of the variable in the polynomial.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What does it mean to factor a polynomial completely?

Back

To factor a polynomial completely means to break it down into irreducible factors over the integers.