7.4: Solve by Factoring (a is NOT 1)

Front

What is the process of rewriting a polynomial as a product of its factors called?

Back

Factoring

Front

What is the factored form of the polynomial 2x² + 7x + 6?

Back

(2x + 3)(x + 2)

Front

In the expression (x + 2)(x - 3), what are (x + 2) and (x - 3) referred to?

Back

Factors

Front

What is the factored form of the polynomial 2x² - 5x - 12?

Back

(x - 4)(2x + 3)

Front

What is the first step in factoring a quadratic expression of the form ax² + bx + c?

Back

Identify a, b, and c.

Front

What does it mean if a polynomial is factorable?

Back

It can be expressed as a product of two or more polynomials.

Front

What is the significance of the leading coefficient in a polynomial when factoring?

Back

It affects the methods used for factoring, especially if it is not equal to 1.

Front

What is the 'zero product property' in relation to factoring?

Back

If the product of two factors is zero, at least one of the factors must be zero.

Front

How can you check if your factorization of a polynomial is correct?

Back

By multiplying the factors back together to see if you obtain the original polynomial.

Front

What is a binomial?

Back

A polynomial with exactly two terms.