Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler 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 to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a 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 quadratic formula?

Back

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

Front

How do you factor x² - 10x - 24?

Back

The factors are (x - 12)(x + 2).

Front

What are the factors of 5x² + 20x + 20?

Back

The factors are 5(x + 2)(x + 2).

Front

How do you solve 2x² + 7x + 6 = 0 by factoring?

Back

The solutions are x = -3/2 and x = -2.

Front

What are the factors of 3x² - 17x + 10?

Back

The factors are (x - 5)(3x - 2).

Front

How do you solve 6x² - x - 2 = 0?

Back

The solutions are x = 2/3 and x = -1/2.