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- P.3 Classifying, Adding, And Subtracting Polynomials

P.3 Classifying, Adding, and Subtracting Polynomials
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Sarah Brower
Used 9+ times
FREE Resource
5 Slides • 12 Questions
1
P.3
Classifying/Adding/Subtracting
Polynomials
Combining Like Terms
2
Number Talk
There is only one number in the
entire world that works when
plugged into the following
equation:
What is it?
Can you disprove the above
statement?
3
Multiple Select
For what number does x = x^2?
0
1
-1
None of these
4
Important Definitions
Polynomial- a mathematical expression with multiple terms
Term- an expression made up of coefficients, variables, and exponents (no +/-
signs)
Coefficient- the number before the variable
Degree- the highest exponent number of the polynomial
5
Classifying Polynomials
By Degree:
●0- Constant
●1- Linear
●2- Quadratic
●3- Cubic
By Term:
●1- Monomial
●2- Binomial
●3- Trinomial
6
Multiple Choice
3x3 – 6x
Monomial
Binomial
Trinomial
4-Term Polynomial
7
Multiple Choice
3x2 – 8x + 1
Constant
Linear
Quadratic
Cubic
8
Multiple Choice
12
Monomial
Binomial
Trinomial
4-Term Polynomial
9
Adding/Subtracting Polynomials
We add/subtract polynomials by adding/subtracting the coefficient of
like terms:
A “like term” is classified by two pieces of criteria:
●Same variable(s)
●Same degree
10
Multiple Choice
10x
10
9x + 1
9 + 1x
11
Multiple Choice
23
23v
9 + 14v
9v + 14
12
Multiple Choice
4y + 8d - 2y + 3d
11d + 6y
11d + 2y
6y + 5d
13
Multiple Choice
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
2x2 + 3x +1
-2x2 - 11x -4
2x2 + 5x -7
-2x2 + 11x -4
14
Multiple Choice
2x3-6x2-9x
2x3+6x2+9x
-2x3-6x2+9x
2x3-6x2+9x
15
Multiple Choice
4x4 - 9x3 - 10x2 - 24
4x4 - 9x3 - 10x2 - 2x - 24
4x4 - 9x3 - 10x2 + 2x - 24
-4x4 - 9x3 - 10x2 - 24
16
Multiple Choice
(3- 2x + 2x2) - (4x -5 +3x2)
x2 + 6x + 8
2x2 + 5x - 7
-x2 -6x + 8
-2x2 + 11x - 4
17
Multiple Select
What two things should you look for with like terms?
Same variable
Same constant
Same degree
Same sign
None of these
P.3
Classifying/Adding/Subtracting
Polynomials
Combining Like Terms
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