How to factor a trinomial with a negative middle term

The video tutorial explains how to factor a trinomial with a negative middle term and a positive last term. It introduces the FOIL method and demonstrates how to find two numbers that multiply to a given number, in this case, 15, and add to a negative number, -8. The tutorial uses the quadratic form to identify the correct factors, emphasizing the use of negative numbers to achieve the desired result. The final solution is presented as two binomials, X - 3 and X - 5.

What is the first step in factoring a trinomial with a negative middle term and a positive last term?

• Find the greatest common factor

• Multiply the first and last terms

• Set the trinomial into two binomials

• Identify the two numbers that add to the middle term

Which format is used to help find two numbers that multiply to a product and add to a sum?

• Linear equation

• Logarithmic scale

• Exponential form

• Quadratic form

Why is it important to consider negative factors when the sum is negative?

• Positive factors are not allowed in this context

• Negative factors are always the correct choice

• Positive factors cannot add up to a negative sum

• Negative factors are easier to calculate

Which pair of numbers multiply to 15 and add to -8?

• -1 and -15

• 3 and 5

• -3 and -5

• 1 and 15

What is the final factored form of the trinomial in the example?

• (X + 3)(X + 5)

• (X - 3)(X + 5)

• (X - 3)(X - 5)

• (X + 3)(X - 5)