Factoring Polynomials

Front

What does GCF stand for in the context of factoring polynomials?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in a polynomial.

Front

What is the first step in factoring a polynomial?

Back

The first step is to check if there is a GCF (Greatest Common Factor) among the terms.

Front

How do you factor the difference of squares?

Back

The difference of squares can be factored using the formula a² - b² = (a - b)(a + b).

Front

What is the factored form of 81m² - 1?

Back

The factored form is (9m - 1)(9m + 1).

Front

What is the factored form of x⁴ - 9x²?

Back

The factored form is x²(x + 3)(x - 3).

Front

What is the process to factor a quadratic polynomial like 3x² - 7x + 2?

Back

To factor a quadratic polynomial, look for two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient.

Front

What is the factored form of 3x² - 7x + 2?

Back

The factored form is (x - 2)(3x - 1).

Front

How do you recognize a perfect square trinomial?

Back

A perfect square trinomial can be recognized if it can be expressed as (a ± b)², where a² and b² are the first and last terms, respectively.

Front

What is the factored form of 4h² - 12h + 9?

Back

The factored form is (2h - 3)².

Front

What is the significance of factoring polynomials in algebra?

Back

Factoring polynomials is significant because it simplifies expressions and helps solve equations more easily.