Factoring Quadratics a=1

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 standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

How do you factor x² + 12x + 20?

Back

The factors are (x + 2)(x + 10).

Front

What is the process to factor a quadratic expression?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the expression using these numbers. 4. Factor by grouping.

Front

What is the factored form of d² - 10d + 25?

Back

The factored form is (d - 5)(d - 5) or (d - 5)².

Front

How do you factor 2c² + 2c - 84?

Back

First, factor out the GCF: 2(c² + c - 42). Then factor the quadratic: 2(c + 7)(c - 6).

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a + b)(a - b).