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 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

How do you find the roots of a quadratic equation using factoring?

Back

To find the roots, factor the quadratic expression into two binomials, set each binomial equal to zero, and solve for x.

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Front

Factor the quadratic expression: x² - 14x + 24

Back

(x - 12)(x - 2)

Front

Factor the quadratic expression: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

Factor the quadratic expression: x² + 11x + 24

Back

(x + 8)(x + 3)