Factoring Quadratic Equations

The video tutorial explains how to solve the quadratic equation x^2 + 5x + 6 = 0 by factoring. It begins by identifying the equation as a quadratic and proceeds to factor it by finding two numbers that multiply to the constant term (6) and add to the linear coefficient (5). The factors identified are (x + 2) and (x + 3). The tutorial then demonstrates setting each factor to zero to find the solutions, which are x = -2 and x = -3.

What is the first step in solving the quadratic equation x^2 + 5x + 6 = 0?

• Factor the equation

• Complete the square

• Graph the equation

• Use the quadratic formula

Which pair of numbers can be used to factor the equation x^2 + 5x + 6 = 0?

• 3 and 4

• 2 and 3

• 5 and 1

• 1 and 6

What is the purpose of factoring a quadratic equation?

• To simplify the equation

• To determine the zeros

• To change the equation to standard form

• To find the vertex

After factoring the equation x^2 + 5x + 6 = 0, what are the factors?

• (x + 2)(x + 3)

• (x + 5)(x + 1)

• (x + 3)(x + 4)

• (x + 1)(x + 6)

What are the solutions to the equation x^2 + 5x + 6 = 0?

• x = 2 and x = 3

• x = 1 and x = 6

• x = -1 and x = -6

• x = -2 and x = -3