Learn how to solve a trinomial by first factoring out the GCF then factoring completely

The video tutorial covers the process of factoring a quadratic equation. It begins by identifying a common factor and simplifying the expression. The instructor explains how to find factor pairs that satisfy the equation's conditions. The tutorial concludes with solving the equation using the zero product property, resulting in the solutions for the variable.

What is the common factor that is factored out from the quadratic equation in the first step?

• 5

• 3

• 4

• 2

Which of the following pairs of numbers correctly multiply to give 8 and add to give 18X in the quadratic equation?

• 3 and 2

• 6 and 3

• 4 and 2

• 8 and 1

What is the correct factorization of the quadratic equation 9X^2 + 18X + 8 = 0?

• (3X + 4)(3X + 2)

• (9X + 1)(X + 8)

• (3X + 1)(3X + 8)

• (9X + 2)(X + 4)

After applying the Zero Product Property, what are the solutions to the equation?

• X = -4/3 and X = -2/3

• X = 4/3 and X = 2/3

• X = -3/4 and X = -3/2

• X = 3/4 and X = 3/2

What property is used to solve the factored equation?

• Commutative Property

• Zero Product Property

• Associative Property

• Distributive Property