Factoring Trinomials When a = 1

Factoring Trinomials When a = 1

Please be sure to have paper out for notes and title them 'Factoring Trinomials When a = 1'.

Objective of Lesson

• Objective 1: Factoring trinomials in the form on Ax² + Bx + C

• Objective 2: Finding the zeros of a function.

Open Ended

Warm-Up: Simplify the following polynomials.

You have 3 minutes to complete the following problems.

a.  $\left(x+1\right)\left(x+5\right)$  

b.   $\left(m-4\right)\left(m\ +\ 6\right)$  

c.  $\left(k-7\right)\left(k-3\right)$  

Factoring Trinomials when A = 1

• When factoring polynomials, we are "undoing" the multiplication of two binomials.

• Remember: Factoring is the process of finding the factors that would multiply together to make a certain polynomial. 

Investigation Activity

Now that you have discovered that when you multiply two binomials such as (x + 2)(x + 3), you can just take the product of the two numbers to get the last number (c) and take the sum of the numbers to get the middle number (b).



Investigation Activity

• In this activity, you will need to find two integers that multiply and add to get certain values.

• For example, the integers 3 and 7 multiply to get 21 and add to get 10.

• You and your partner have 15 minutes to complete as many rows as possible.

Multiple Choice

Factor:

n² + 16n + 63

• (n − 7)(n + 4)

• (n + 7)(n − 9)

• (n − 3)(n − 10)

• (n + 7)(n + 9)

Multiple Choice

Factor:

a² − a − 12

• (a − 4)(a + 3)

• (a + 6)(a − 4)

• (a − 6)(a + 4)

• (a + 4)(a − 3)

Multiple Choice

Factor:

x² + 9x − 36

• (x + 12)(x − 3)

• (x + 9)(x − 4)

• (x − 12)(x + 3)

• (x − 9)(x − 4)

Multiple Choice

Factor:

x² − 15x + 50

• (x − 10)(x − 15)

• (x − 10)(x − 5)

• (x − 25)²

• (x − 5)(x − 5)

Poll

Rate your understanding.

• 0 - I am so lost.

• 1 - I don't really get it.

• 2 - I'm starting to get it.

• 3 - I got this.

• 4 - I could teach it.

Independent Work

• Objective: Factoring Trinomials x² + bx + c

• In this assignment, you will factor each trinomial by finding two integers that add to get b and multiply to a * c

• Go to joinmyquiz.com and enter this code 22949090