Find the Solution Set of a Polynomial by Factoring

The video tutorial covers the process of factoring equations, starting with setting them to zero and identifying the greatest common factor (GCF). It explains how to factor terms and apply the zero product property to find solutions. The tutorial also discusses the relationship between factors and their corresponding X intercepts, emphasizing the importance of understanding solution sets.

What is the first step in the factoring process according to the instructor?

• Add a constant to both sides

• Multiply all terms by a constant

• Find the roots of the equation

• Set the equation equal to zero

When factoring a quadratic equation, what should you look for in the terms?

• The highest power of x

• The largest constant

• The greatest common factor

• The smallest coefficient

Which pair of numbers multiply to 12 and add to -7 in the given example?

• -2 and -6

• 2 and 6

• -3 and -4

• 3 and 4

What property is used to find the solutions of a factored equation?

• Zero Product Property

• Associative Property

• Commutative Property

• Distributive Property

If the factor is (x - 6), what is the corresponding solution?

• x = 12

• x = 6

• x = -6

• x = 0