Factoring Quadratics

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 GCF stand for?

Back

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

Front

How do you find the GCF of a polynomial?

Back

To find the GCF of a polynomial, identify the highest degree of common factors in each term of the polynomial.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a + b)(a - b).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

Factor the expression: x² - 10x - 24

Back

(x - 12)(x + 2)

Front

Factor the expression: 4x² - 20x + 25

Back

(2x - 5)²

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)