Factoring trinomials using the diamond method, x^2 + 14x - 15

The video tutorial focuses on solving area problems by factoring quadratic expressions. It begins with identifying the quadratic expression X^2 - 15 and breaking down the middle term 14X using factors of 15. The teacher explains the importance of choosing the correct factors that multiply to -15 and add to 14. The box method is used to factor the expression, leading to the final product of (X + 15)(X - 1). The tutorial emphasizes understanding the process and verifying the solution.

What is the main goal when breaking down the expression X^2 - 15?

• To find two numbers that multiply to -15 and add to 14

• To find two numbers that add to -15

• To find two numbers that multiply to 14

• To find two numbers that add to 15

Why must one of the factors of 15 be negative?

• Because the factors are equal

• Because the product of the factors is negative

• Because the sum of the factors is negative

• Because both factors are negative

Which pair of numbers correctly multiplies to -15 and adds to 14?

• 15 and -1

• 10 and 4

• -15 and 1

• 5 and 3

What method is used to factor the expression X^2 + 14X - 15?

• The quadratic formula

• Synthetic division

• The box method

• Completing the square

What is the final factored form of the expression X^2 + 14X - 15?

• (X - 15)(X - 1)

• (X - 15)(X + 1)

• (X + 15)(X - 1)

• (X + 15)(X + 1)