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 the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants and a ≠ 0.

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 Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of 22x³ and 11x²?

Back

The GCF is 11x², as it is the highest power of x and the largest coefficient that divides both terms.

Front

What is the factored form of x² - 9?

Back

The factored form is (x - 3)(x + 3), which is a difference of squares.

Front

How do you factor the expression x² + 12x + 36?

Back

The expression factors to (x + 6)(x + 6) or (x + 6)², which is a perfect square trinomial.

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 and factor by grouping.

Front

What is the factored form of x² + 5x + 6?

Back

The factored form is (x + 2)(x + 3).

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as x + 2 or 3x² - 5.