Warm Up Find the GCF Factor Completely 1
- Slides: 26
Warm Up Find the GCF Factor Completely 1) 56, 26 3) 18 z 4 + 21 z 3 – 9 z 2 2) 144 x 5 wz 3, 36 x 3 z 2 m 4) 3 xy + 21 x – 2 y – 14
Divisibility Rules
Homework
Factoring Standard Form: ax 2 + bx + c
Factoring is the opposite of multiplying: Multiplying (x +7)(x + 3) = Factoring x 2 + 10 x + 21
there are many methods we can use to get to the same answer I am going to show you two ways You decide which one you like
Method 1… We have to find a number that multiplies to the “c” term whose factors add to the “b” term (x +7)(x + 3) = x 2 + 10 x + 21 7 • 3 = 21 7 + 3 = 10 Some people like to organize this using an X-box, and not the gaming system
Factor the x-box way y = ax 2 + bx + c First and Last Coefficients Product ac=mn n m b=m+n Sum Middle Now let’s practice Finding the m and n terms
Now let’s Factor!!!
Examples Factor. 1. x 2 + 4 x – 12 -12 6 -2 4 y = ax 2 + bx + c First and Last Coefficients Product ac=mn n m b=m+n Sum Solution: x 2 + 4 x – 12 = (x + 6)(x - 2) Middle
Examples 2. x 2 y = ax 2 + bx + c - 9 x + 20 20 -4 5 -9 continued Product First and Last Coefficients ac=mn n m b=m+n Sum Solution: x 2 - 9 x + 20 = (x - 4)(x - 5) Middle
Method 2… “Undoing” the Box x 2 - 7 a + 6
x 2 – 3 x - 28
24 + 10 x + x 2
d 2 – 6 d – 27
2 x 2 + 6 x + 4
Think-Pair-Share 1. Based on the problems we’ve done, list the steps for factoring so that someone else can do a problem using only your steps. 2. Trade papers with your partner and use their steps to factor the following problem: x 2 + 4 x - 32. Make sure your partner uses the same method as you!!!!
Trying out the Steps 3. If you cannot complete the problem using only the steps written, put an arrow on the step where you stopped. Give your partner’s paper back to him. 4. Modify the steps you wrote to correct any incomplete or incorrect steps. Finish the problem based on your new steps and give the steps back to your partner. 5. Try using the steps again to factor: x 2 - x - 56.
You Try!- Choose your own method Factor the expression: x 2 + 7 x + 10
You Try! Factor the expression: x 2 – 2 x – 24
You Try! Factor the expression: x 2 – 15 x + 26
You Try! Factor the expression: x 2 – 6 x – 27
You try!!! Factor the expression: x 2 + 9 x + 14
- Gcf warm up
- Rules of factoring
- X method factoring
- Factoring completely
- Factor the expression using the gcf. $4m+32$
- Factoring problems
- Factoring greatest common factor
- Factor gcf
- Factoring expressions using gcf
- Gcf of 10 and 12
- What are factors of 75
- Gcf of negative and positive numbers
- What multiplies to 60
- What is the greatest common factor of 16 and 48?
- Scale factor warm up
- Scale factor warm up
- Factor by grouping examples
- Factor out the greatest common factor
- Average of sine wave
- An example of a factor-isolating question.
- Common factors of 36 and 48
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