How to solve a quadratic by factoring

The video tutorial explains how to solve a quadratic equation by factoring. It begins with an introduction to the factoring method, focusing on finding two factors of 36 that add up to -12. The process involves rewriting the quadratic as two binomials and applying the zero product property to find the solution. The tutorial concludes with the solution x=6, highlighting the concept of multiplicity.

What is the first step in solving a quadratic equation by factoring when the leading coefficient is 1?

• Use the quadratic formula.

• Complete the square.

• Graph the equation.

• Find two numbers that multiply to the constant term.

Which of the following pairs of numbers multiply to 36 and add to -12?

• -6 and -6

• 6 and 6

• 9 and -4

• -9 and 4

What is the purpose of using the zero product property in solving quadratic equations?

• To calculate the discriminant.

• To find the vertex of the parabola.

• To determine the axis of symmetry.

• To find the roots of the equation.

What does it mean when a quadratic equation has a repeated solution?

• The equation has no real solutions.

• The graph of the equation is a straight line.

• The equation has a double root.

• The solutions are complex numbers.

In the context of solving quadratics, what is multiplicity?

• The sum of the roots.

• The degree of the polynomial.

• The number of times a particular solution occurs.

• The number of solutions an equation has.