Factoring and Solving Quadratic Equations

The video tutorial explains the process of factoring numbers and expressions. It begins with finding two numbers that multiply to a given product and add to a specific sum. The tutorial provides examples, including factoring numbers that multiply to 12 and add to 7, and another example with numbers that multiply to -20 and add to 1. It concludes with an advanced example of factoring a quadratic expression, demonstrating the distribution method to verify the factorization.

What are the two numbers that multiply to 12 and add to 7?

• 5 and 2

• 4 and 3

• 3 and 2

• 6 and 1

Tags

CCSS.HSA-REI.B.4B

What is the product of the numbers that add to 7 and multiply to 12?

• 12

• 7

• 19

• 5

Tags

CCSS.HSA-REI.B.4B

Which of the following pairs of numbers multiply to 24 and add to 11?

• 9 and 2

• 7 and 5

• 8 and 3

• 6 and 4

Tags

CCSS.HSA-REI.B.4B

Which pair of numbers multiply to 24 and add to 11?

• 6 and 4

• 8 and 3

• 12 and 2

• 7 and 5

Tags

CCSS.HSA-REI.B.4B

If two numbers multiply to -20 and add to 1, what are they?

• 3 and -6

• 6 and -3

• 4 and -5

• 5 and -4

Tags

CCSS.HSA-REI.B.4B

What is the sum of the numbers that multiply to -20 and add to 1?

• -1

• 5

• 0

• 1

Tags

CCSS.HSA-REI.B.4B

What is the result of multiplying the numbers that add to 1 and multiply to -20?

• -20

• 1

• 5

• 0

What is the correct factorization of 2A^2 + 11A + 12?

• (A + 4)(2A + 3)

• (2A + 4)(A + 3)

• (A + 3)(2A + 4)

• (2A + 3)(A + 4)

Which of the following is a correct factorization of a quadratic expression?

• (x + 2)(x + 3)

• (x + 1)(x + 4)

• (x + 3)(x + 5)

• (x + 2)(x + 5)

In the expression 2A^2 + 11A + 12, what is the coefficient of A after factoring?

• 2

• 11

• 3

• 4