

Lesson: Polynomial Operations Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Mr Woods
Used 4+ times
FREE Resource
14 Slides • 13 Questions
1
Lesson: Polynomial Operations Review
2
Standard Form
3
Multiple Choice
-3x + 8x2 + 9x3 - 11
9x3 + 8x2 - 3x - 11
8x2 + 9x3 -11 - 3x
-11 - 3x + 8x2 + 9x3
4
Multiple Select
Which of these is in Standard Form?
4x2+12x−13x3
5−3x
2x4−12x2+5x−9
5x5+4x4+12x3−23x+15
5
- Name of Author
" Replace this with a quote, words full of wisdom that someone important said and can inspire the reader. "
6
Multiple Choice
8a3
8
1
3
11
7
Multiple Choice
polynomial
monomial
binomial
8
Classify by number of terms:
You probably recognize these!
Study the chart ====>
9
Multiple Choice
Classify by number of terms:
x2 + 4x -8
binomial
trinomial
monomial
polynomial
10
Multiple Choice
Classify by number of terms:
2n³
Monomial
Binomial
Trinomial
Polynomial
11
Leading Coefficient & Constant Term
Look at the chart ===>
The leading coefficient is the number in front of the highest degree variable.
The constant is the number without a variable.
Write in standard form 1st to make these easy to identify!
12
The CONSTANT here is 0!
13
Multiple Choice
Put in standard form first. Then, give the Leading Coefficient (LC) and the Constant:
3x+5x4−9LC = 3;
constant = 9
LC = 5;
constant = 9
LC = 5;
constant = -9
LC = 4;
constant = -9
14
Multiple Choice
What is the leading coefficient (LC) and the constant?
f(x)=5x²+3x³-2x
LC: 5
Constant: 0
LC: 3
Constant: -2
LC: -2
Constant: 3
LC: 5
Constant: -2
15
Like terms have:
Same variables with same exponents!
16
You can add like terms vertically!
Some find this an easier way to get their answer.
Like-terms are written under each other and then added down.
17
Multiple Choice
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
18
Subtracting Polynomials
Distribute the negative and rewrite the 2nd polynomial.
Then lose the parentheses and combine like terms.
You can also line them up vertically and add down!
19
DISTRIBUTING THE (-) IS THE SAME AS MULTIPLYING BY -1 !
20
Multiple Choice
(3- 2x + 2x2) - (4x -5 +3x2)
21
Multiplying
Polynomials
Here are the types of problems you'll need to be able to answer
22
To multiply by a MONOMIAL, just distribute
23
Binomial x Binomial
Distribute twice using FOIL or a
BOX. Here is the Box method ==>
Put the terms on the outside of a box and multiply. Add like terms on the diagonal.
You might have done this in Biology with Punnett Squares!
24
Binomial x Trinomial
Distribute each term in one expression.
Draw a 2 x 3 box to use the Box method.
Remember to write your answer in standard form!
25
Multiple Choice
Multiply: 2x3(x2−2x − 3)
2x6- 4x3 - 6x3
2x5−4x4 − 6x3
-2x5−4x4 − 6x3
-2x6−4x3 − 6x3
26
Multiple Choice
Multiply: (x − 3)(6x − 2)
6x2 − 20x + 6
6x2 + 20x - 6
6x2 +6
6x + 6
27
Multiple Choice
Multiply: (4a + 2)(6a2 − a + 2)
24a3 + 16a2 + 6a + 4
24a3 + 8a2 + 10a + 4
24a3 + 8a2 + 6a + 4
24a3 - 8a2 - 6a + 4
Lesson: Polynomial Operations Review
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