Factoring 8-Trinomials Part 1-Trial Factors

In this lesson, we learn how to factor 8-trinomials into two binomials using the trial factors method. The method involves trying out different factors and signs until the correct factorization is achieved. It's important to check each factorization to ensure its correctness. This method can be time-consuming, but there are other systematic shortcuts to explore in future lessons.

This is part 1 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. This is an introduction to the trial factors method.

• How do you factor trinomials of the form ax^2 + bx + c into two binomials?
• How do you factor a trinomial that does not have a leading coefficient of 1?
• How do you factor 2x^2 - 7x + 3?
• How do you figure out what numbers go in parentheses when factoring a trinomial?
• How do you know whether to add or subtract when you factor a trinomial?
• How can you check to see if you factored a trinomial correctly?
• How do you factor 5x^2 - 13x - 6?
• What do you do when you plug numbers into parentheses to factor a trinomial and it does not work?
• How would you factor 2x^2 - 5x + 2?
• What happens when you are factoring if the middle term is negative and the last term is positive?
• How can you decide if 5x^2 + 33x - 14 = (x - 7)(5x + 2)?
• How can you decide if 18x^2-27x+4=(3x-4)(6x-1)?
• How do you know if 6x^2 - 7x + 3 factors into (3x+1)(2x-3)?