Factoring Trinomials

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does GCF stand for in factoring?

Back

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

Front

How do you find the GCF of 3x² - 9x - 120?

Back

The GCF of 3x² - 9x - 120 is 3.

Front

Factor the trinomial: 3x² - 75.

Back

3(x + 5)(x - 5).

Front

Factor the trinomial: 3x² + 23x - 8.

Back

(3x - 1)(x + 8).

Front

Factor the trinomial: 6x² - 16x + 8.

Back

2(3x - 2)(x - 2).

Front

What is the first step in factoring a trinomial?

Back

The first step is to look for a GCF among the terms.

Front

What is the purpose of factoring a polynomial?

Back

Factoring a polynomial simplifies expressions and helps in solving equations.

Front

What is the difference between a prime polynomial and a factorable polynomial?

Back

A prime polynomial cannot be factored into simpler polynomials with integer coefficients, while a factorable polynomial can.