Factoring and Solving Polynomial Equations Review

This video tutorial covers the process of factoring polynomials, including binomials and trinomials, and solving polynomial equations. It begins with an introduction to the concepts of factoring and solving, followed by detailed explanations and examples of factoring binomials using the greatest common factor (GCF) and difference of squares. The tutorial then progresses to factoring trinomials, including special cases and advanced techniques. Finally, it demonstrates how to solve polynomial equations using a three-step process: setting the equation to zero, factoring, and solving for the variable.

What is the GCF of 8 and 12?

• 12

• 8

• 2

• 4

What is the Greatest Common Factor (GCF) of 8x^4 and 12x^3?

• 12x^3

• 4x^4

• 4x^3

• 2x^2

Which method is used to factor the expression x^2 - 49?

• Quadratic formula

• Difference of squares

• Trinomial factoring

• GCF factoring

What is the correct factored form of x^2 - 49?

• x(7 - x)

• x^2 - 7

• x + 7, x - 7

• x^2 + 49

What are the correct factors of x^2 - 8x - 20?

• x + 5, x - 4

• x + 4, x - 5

• x - 2, x + 10

• x + 2, x - 10

How do you solve the equation 2x^2 + 10x = -8?

• Divide by 2

• Use the quadratic formula

• Subtract 10x from both sides

• Set the equation to zero and factor

What is the correct method to factor 2x^2 - 7x + 3?

• Using the quadratic formula

• Completing the square

• Splitting the middle term

• Factoring out a GCF

Which of the following is a step in solving polynomial equations?

• Set each factor equal to zero

• Multiply each term by x

• Add all terms together

• Divide each term by the leading coefficient

What is the factored form of 6x^2 + 10x + 4?

• 2(3x + 1)(x + 2)

• 3(2x + 2)(x + 1)

• 2(3x + 2)(x + 1)

• 3(2x + 1)(x + 2)

Which pair of numbers multiplies to 6 and adds to 5?

• 1 and 6

• 2 and 3

• 3 and 3

• 2 and 4