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 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 relationship between the roots and factors of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, and they correspond to the factors of the quadratic expression.

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to give the constant term (c) and add to give the coefficient of the linear term (b).

Front

Factor the expression: x² - 23x - 24

Back

(x - 24)(x + 1)

Front

Factor the expression: x² - 10x + 24

Back

(x - 6)(x - 4)

Front

Factor the expression: x² + 25x + 24

Back

(x + 24)(x + 1)

Front

Factor the expression: x² + 5x - 24

Back

(x + 8)(x - 3)