How to find all the roots of a polynomial by factoring

The video tutorial covers the process of factoring polynomials with multiple variables, focusing on identifying common terms and applying the zero product property. It discusses solving quadratic equations using methods like factoring, the quadratic formula, and completing the square. The tutorial emphasizes the importance of factoring skills and demonstrates breaking down trinomials into binomials through trial and error. The session concludes with finding the solution set using the zero product property.

What is the first step in factoring a polynomial with multiple variables?

• Apply the quadratic formula

• Identify common terms

• Use completing the square

• Set the equation to zero

Which method is generally the quickest for solving quadratic equations?

• Factoring

• Graphing

• Completing the square

• Using the quadratic formula

When factoring a quadratic equation, what should the product of the two numbers equal?

• Zero

• The leading coefficient

• The constant term

• The coefficient of the middle term

What is the result when you apply the zero product property to a factored equation?

• The equation is set to zero

• The equation is simplified

• The solutions are found

• The equation is expanded

In the example given, what adjustment was made to achieve the correct middle term?

• Switching the order of terms

• Changing the signs of the terms

• Adding a constant

• Multiplying by a factor