Finding all the roots of a cubic polynomial by factoring

The video tutorial explains how to solve equations by factoring, focusing on the zero product property. It covers the initial steps of setting equations to zero, factoring out common terms, and applying the zero product property. The tutorial also discusses solving quadratic equations using methods like factoring, completing the square, and the quadratic formula. It provides a detailed example of factoring trinomials into binomials and concludes with finding the solution set.

What is the first step in solving an equation by factoring?

• Set the equation equal to zero

• Complete the square

• Apply the quadratic formula

• Factor out the constant term

Which property allows us to solve equations once they are factored?

• Distributive Property

• Zero Product Property

• Associative Property

• Commutative Property

Which method is NOT typically used to solve quadratic equations?

• Factoring

• Quadratic formula

• Completing the square

• Graphing

What are the possible methods to solve a quadratic equation if factoring is not feasible?

• Graphing and substitution

• Synthetic division and long division

• Completing the square and quadratic formula

• Matrix operations and determinants

What are the solutions for the equation 5X^2 + 6X + 1 = 0 after factoring?

• X = 1/5 and X = 1

• X = -1/5 and X = -1

• X = 0 and X = 1

• X = 1 and X = -1