Factoring Trinomials with Leading Coefficient of One

This video tutorial explains how to factor trinomials, focusing on cases where the coefficient of x squared is 1. It begins with an introduction to trinomials and their components, followed by a demonstration of multiplying binomials using the FOIL method. The tutorial then provides step-by-step instructions for factoring trinomials, illustrated with several examples. Each example is broken down to show how to find two numbers that add to the middle term and multiply to the constant term. The video concludes with a recap of the key concepts and encourages viewers to practice the techniques discussed.

What does the prefix 'tri' in trinomial signify?

• Three terms

• Two terms

• Four terms

• One term

What analogy is used to explain the concept of a trinomial?

• A triangle

• A tripod

• A trilogy

• A triathlon

In the FOIL method, what does the 'F' stand for?

• Form

• Final

• First

• Factor

What are the two numbers that add to 6 and multiply to 8 in the example given?

• 2 and 4

• 3 and 5

• 1 and 7

• 2 and 6

What is the correct factorization of x^2 + 6x + 8?

• x + 3 and x + 5

• x + 2 and x + 4

• x + 1 and x + 7

• x + 2 and x + 6

When factoring trinomials with a leading coefficient of 1, what are we looking for in two numbers?

• They divide by B and subtract from C

• They multiply to B and add to C

• They subtract to B and divide by C

• They add to B and multiply to C

For the trinomial x^2 - 5x - 24, what are the correct factors?

• x - 8 and x + 3

• x + 8 and x - 3

• x - 4 and x + 6

• x + 4 and x - 6

What is the sum of the factors that multiply to -24 and add to -5?

• 24

• 5

• -24

• -5

In the final example, what two numbers add to -12 and multiply to 27?

• 6 and 4

• -6 and -4

• 9 and 3

• -9 and -3

What is the correct factorization of x^2 - 12x + 27?

• x - 9 and x - 3

• x + 6 and x + 4

• x + 9 and x + 3

• x - 6 and x - 4