Algebra: Factoring Trinomials Review & Bonus

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 ax^2 + bx + c.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you find the GCF of 5x^2 and 20x?

Back

The GCF is 5x, as it is the largest expression that divides both terms.

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF (Greatest Common Factor) of the terms.

Front

Factor the expression: 4x^2 - 9.

Back

(2x - 3)(2x + 3) - This is a difference of squares.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a^2 - b^2 = (a - b)(a + b).

Front

Fully factor the expression: 25x^2 - 81.

Back

(5x + 9)(5x - 9) - This is also a difference of squares.

Front

What is the factored form of 3x^2 - 2x?

Back

x(3x - 2) - Factoring out the GCF, which is x.

Front

What is the factored form of x^2 + 5x + 6?

Back

(x + 2)(x + 3) - This is a trinomial that factors into two binomials.