Quickly learn how to factor a quadratic with three terms

The video tutorial explains the process of factoring quadratic expressions by identifying two numbers that multiply to give a constant (C) and add to give another constant (B). The instructor demonstrates mental calculation techniques to find these numbers, emphasizing the importance of considering negative factors. The tutorial concludes with writing the expression in factored form and encourages students to practice the method.

What is the main goal when factoring a quadratic expression?

• To find two numbers that multiply to give A and add to give B

• To find two numbers that multiply to give C and add to give B

• To find two numbers that multiply to give B and add to give C

• To find two numbers that multiply to give C and add to give A

Which of the following pairs of numbers multiply to give 18?

• 3 and 5

• 2 and 9

• 1 and 17

• 4 and 4

If a pair of numbers multiply to give 18 and add to give -7, what must be true about the numbers?

• Both numbers must be positive

• Both numbers must be negative

• One number must be positive and the other negative

• The larger number must be negative

What is the factored form of the expression using the numbers -9 and 2?

• (X + 9)(X - 2)

• (X - 9)(X + 2)

• (X + 9)(X + 2)

• (X - 9)(X - 2)

What should you do after identifying the correct factors for a quadratic expression?

• Write them in a box

• Add them to the original expression

• Write the factored form

• Multiply them together