#3 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 is the standard form of a quadratic equation?

Back

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

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

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

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 difference of squares?

Back

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

Front

How do you factor x² - 81?

Back

x² - 81 can be factored as (x - 9)(x + 9) using the difference of squares.

Front

How do you factor x² - 10x + 24?

Back

x² - 10x + 24 can be factored as (x - 6)(x - 4) by finding two numbers that multiply to 24 and add to -10.

Front

What is the process to factor a trinomial?

Back

To factor a trinomial, find two numbers that multiply to the constant term and add to the coefficient of the linear term.