Factoring Trinomials with a Leading Coefficient of 1

Tutoring on Factoring Trinomials with a Leading Coefficient of 1

Learning Objectives:

Understand to Factor Trinomials with Leading Coefficient 1.

Math Tutoring on Factoring Trinomials with a Leading Coefficient of 1

Trinomials in the form of ax² + bx + c, when a = 1, which means the first term will be x². 

Step1: When the leading coefficient is x², there are only two factors of x², and that would x and x. We will make two sets of parentheses and start by putting the factors of in the first position of each set of parentheses.

 Step 2: We will list all of the factors of c, the constant term, paying close attention to sign. In order to find the terms that go in the second positions, we need to find the factors of c that add to b.

 Step 3: Once we find those factors we will place those in the second position of each set of parentheses, which should result in the two factors of the quadratic.

Step 4: We can multiply to check the factored form.

 

 

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Hook Questions:

1.    How do you factor a trinomial?

2.    How do I factor?

3.    What is factoring quadratic trinomials? 

4.    What does it mean to factor a polynomial?

 

 

 

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