Factoring Quadratics (a=1 and GCF)

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 quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as the product of two binomials.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Factor the expression: d² - 10d + 25

Back

(d - 5)(d - 5)

Front

Factor the expression: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

Factor the expression: x² + 8x - 20

Back

(x + 10)(x - 2)

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify if there is a GCF that can be factored out from all terms.

Front

Factor the expression: 2n³ + 16n + 12

Back

2(n³ + 8n + 6)

Front

Factor the expression: 2x + 4

Back

2(x + 2)