Factoring Quadratics

Front

Factor d² - 10d + 25

Back

(d - 5)(d - 5)

Front

Factor 7w³ - 14w

Back

7w(w² - 2)

Front

Find GCF of 22x³ + 11x²

Back

11x²

Front

What is the GCF of the trinomial 3x² - 9x - 120?

Back

3

Front

Factor x² + 9x + 20

Back

(x + 4)(x + 5)

Front

What is factoring in algebra?

Back

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

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What does GCF stand for?

Back

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

Front

How do you factor a perfect square trinomial?

Back

A perfect square trinomial can be factored as (a + b)² or (a - b)², where a² + 2ab + b² = (a + b)² and a² - 2ab + b² = (a - b)².

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the GCF of all the terms in the polynomial.