
4/15 Alg2: Checking for Factors of Polynomials
Presentation
•
Mathematics
•
11th Grade
•
Medium
Standards-aligned
Kourtney Kukowski
Used 4+ times
FREE Resource
11 Slides • 6 Questions
1
Checking for Factors of Polynomials
The remainder tells all!
2
Poll
Please rate your current state of understanding of the learning target.
Learning Target: I can check whether or not a binomial is a factor of a polynomial.
4 - I can teach it!
3 - I understand it.
2 - I'm getting there.
1 - I don't understand, I need some more help.
3
4
Is it a factor?
If it is a factor, what is the remainder?
5
Let's use synthetic division to divide together.
This is one of two methods we can use!
6
Multiple Choice
What is the remainder, according to our work?
0
1
-6
6
7
Multiple Choice
Is the binomial, (x - 6), a factor of the polynomial, P(x)?
Yes, because the remainder is zero.
No, because the remainder is NOT zero.
8
Let's use direct substitution to determine if the binomial is a factor.
This is the second method we can use! Does P(a) = 0?
9
Multiple Choice
Is the binomial, (x - 6), a factor of the polynomial, P(x)?
Yes, because P(6) = 0
No, because P(6)=0
10
11
Another Example
We won't do both methods again, but think... How do I know if it is a factor?
12
Here is the work. Now think to yourself, answer on the next slide: Is (x+3) a factor of P(x)?
13
Multiple Choice
Is (x+3) a factor of P(x)?
Yes, because P(−3)=0
No, because P(−3)=0
14
15
Poll
Please rate your current state of understanding of the learning target.
Learning Target: I can check whether or not a binomial is a factor of a polynomial.
4 - I can teach it!
3 - I understand it.
2 - I'm getting there.
1 - I don't understand, I need some more help.
16
Debrief
Learning Target: I can check whether or not a binomial is a factor of a polynomial.
Use synthetic division OR direct substitution.
If the remainder from synthetic division is 0, it IS a factor.
If P(a) = 0 from direct substitution, it IS a factor.
17
Great work! Complete your exit ticket and enjoy your Thursday!!!!
Checking for Factors of Polynomials
The remainder tells all!
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