Factoring and Solving Equations

The video tutorial covers solving quadratic equations through factoring, focusing on special cases like the difference of squares and factoring out the greatest common factor (GCF). It provides step-by-step solutions to various quadratic equations, demonstrating techniques such as factoring the difference of squares, using negative factors, and handling special cases. The tutorial emphasizes the zero product property to find solutions.

What is the first step in solving the equation 9m^2 - 100 = 0 using the difference of squares method?

• Factor the equation as (3m - 10)(3m + 10)

• Add 100 to both sides

• Divide by 9

• Subtract 9 from both sides

When solving 64y^2 = 36 by factoring, what should you do first?

• Divide both sides by 36

• Subtract 36 from both sides

• Add 36 to both sides

• Multiply both sides by 64

What is the GCF of 64 and 36 in the equation 64y^2 - 36 = 0?

• 2

• 4

• 8

• 16

In the equation 25b^2 - 48 = 0, what is the result of factoring out a negative?

• Negative 4 times (5b - 4)(5b + 4)

• Negative 3 times (5b - 4)(5b + 4)

• Negative 4 times (4b - 5)(4b + 5)

• Negative 3 times (4b - 5)(4b + 5)

What is the solution to the equation 4a + 9 = 0?

• a = -4/9

• a = 4/9

• a = -9/4

• a = 9/4

In the equation 25g^2 - 16 = 0, what is the correct factorization?

• (4g - 5)(4g + 5)

• (5g - 2)(5g + 2)

• (5g - 4)(5g + 4)

• (4g - 2)(4g + 2)

What is the solution for p in the equation 7p - 9 = 0?

• p = 7/9

• p = -9/7

• p = -7/9

• p = 9/7

What is the GCF of the terms in the equation 10t^2 + 2t = 0?

• 2

• 5

• 1

• 10

What is the solution for t in the equation 5t + 1 = 0?

• t = 1/5

• t = -1/5

• t = 5

• t = -5

What is the result of factoring the expression 144g^2 - 120g + 25?

• (12g - 5)^2

• (12g + 5)^2

• (12g - 5)(12g + 5)

• (12g + 5)(12g - 5)