Factoring Quadratic Equations: GCF and Trinomials

What is the first step in factoring quadratics as discussed in the video?

• Identify the type of quadratic equation

• Set up the 'X' method

• Apply the distributive property

• Factor out the Greatest Common Factor (GCF)

In the expression 6m + 3, what is the GCF?

• 3

• 9

• 1

• 6

Which pair of numbers multiplies to 15 and adds up to 8?

• 3 and 5

• 1 and 15

• 2 and 7

• 4 and 11

What is the factored form of x^2 + 8x + 15 using the 'X' method?

• x + 3 times x + 5

• x + 6 times x + 9

• x + 4 times x + 4

• x + 7 times x + 8

How do you verify the correctness of your factored expression?

• By substituting values for variables

• By graphing the equation

• By setting the expression to zero

• By applying the distributive property

What is the special rule mentioned for quickly factoring expressions like x^2 - 64?

• Completing the square

• Factor by grouping

• Quadratic formula

• Difference of two squares

What is the factored form of x^2 - 64?

• x - 5 times x + 5

• x - 7 times x + 7

• x - 6 times x + 6

• x - 8 times x + 8

For the expression 4x^2 - 81, which is a difference of squares, what is the correct factoring?

• 4x - 9 times 4x + 9

• 4x - 8 times 4x + 8

• 2x - 8 times 2x + 8

• 2x - 9 times 2x + 9

What should you always check first before applying the difference of squares rule?

• If the coefficients are integers

• If the equation can be simplified further

• If the terms are perfect squares

• If the equation is set to zero

What is the factored form of 9x^2 - 16 using the difference of squares?

• 3x - 16 times 3x + 16

• 9x - 4 times 9x + 4

• 3x - 4 times 3x + 4

• 9x - 16 times 9x + 16