Solving Quadratics by Factoring

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it as a product of two binomials, allowing us to find the values of x that satisfy the equation.

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve for x: (x - 3)(x + 6) = 0

Back

x = 3, x = -6

Front

Solve for x: x² + 7x + 12 = 0

Back

x = -3, x = -4

Front

Solve for x: x² + 13x + 12 = 0

Back

x = -12, x = -1

Front

Solve for x: x² + 9x + 20 = 0

Back

x = -4, x = -5

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4, x = 5

Front

What are the steps to solve a quadratic equation by factoring?

Back

1. Write the equation in standard form (ax² + bx + c = 0). 2. Factor the quadratic expression. 3. Apply the zero product property. 4. Solve for x.

Front

What is the significance of the coefficients in a quadratic equation?

Back

The coefficients a, b, and c determine the shape and position of the parabola represented by the quadratic equation.