1. Operations with Polynomials
Section 9.1
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9.1 - Adding and Subtracting Polynomials

2. 9.1 - Adding and Subtracting Polynomials
Names of Polynomials
MONOMIAL is a number or a product of numbers and variables with whole number exponents
BINOMIAL is a polynomial with two terms
TRINOMIAL is a polynomial with three terms is
POLYNOMIAL is a monomial or the sum or difference of monomials.
POSITIVE, WHOLE NUMBER DEGREES •
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9.1 - Adding and Subtracting Polynomials

3. 9.1 - Adding and Subtracting Polynomials
Example 1
State whether the expression is a monomial, 3x4
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9.1 - Adding and Subtracting Polynomials

4. 9.1 - Adding and Subtracting Polynomials
Example 2
State whether the expression is a monomial,
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9.1 - Adding and Subtracting Polynomials

5. 9.1 - Adding and Subtracting Polynomials
Example 3
State whether the expression is a monomial,
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9.1 - Adding and Subtracting Polynomials

6. 9.1 - Adding and Subtracting Polynomials
Your Turn
State whether the expression is a monomial,
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9.1 - Adding and Subtracting Polynomials

7. 9.1 - Adding and Subtracting Polynomials
Example 4
Identify whether 3 – 5x2 + 4x is a polynomial and its name. Then, write it in standard form and identify its highest degree, type, leading coefficient, and constant term.
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9.1 - Adding and Subtracting Polynomials

8. 9.1 - Adding and Subtracting Polynomials
Example 5
Identify 3 – (1/4)x2 is a polynomial. Then, write it in standard form and identify its highest degree, type, leading coefficient, and constant term.
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9.1 - Adding and Subtracting Polynomials

9. 9.1 - Adding and Subtracting Polynomials
Example 6
Identify is a polynomial. Then, write it in standard form and identify its highest degree, type, leading coefficient, and constant term.
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9.1 - Adding and Subtracting Polynomials

10. 9.1 - Adding and Subtracting Polynomials
Your Turn
Identify –3x + 7x2 + 5 and write it in standard form and identify its degree, type, leading coefficient, and constant term.
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9.1 - Adding and Subtracting Polynomials

11. Adding/Subtracting Polynomials
Keep It
Simple,
Students
Combine like terms when adding or subtracting polynomials
Create a table/chart when simplifying polynomials (for the visual learners)
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9.1 - Adding and Subtracting Polynomials

12. 9.1 - Adding and Subtracting Polynomials
Example 7
Simplify (x2 – 5x + 6) + (3x2 + 4x – 9)
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9.1 - Adding and Subtracting Polynomials

13. 9.1 - Adding and Subtracting Polynomials
Example 8
Simplify (2x3 – 5x2 + x) + (2x2 + x3 – 1)
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9.1 - Adding and Subtracting Polynomials

14. 9.1 - Adding and Subtracting Polynomials
Your Turn
Simplify (–2x2 + 3x – x3) + (3x2 + x3 – 12)
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9.1 - Adding and Subtracting Polynomials

15. 9.1 - Adding and Subtracting Polynomials
Example 8
Simplify (x2 – 5x + 6) – (3x2 + 4x – 9)
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9.1 - Adding and Subtracting Polynomials

16. 9.1 - Adding and Subtracting Polynomials
Example 9
Simplify (2x3 + 8x2 – 6x) – (4x4 + 2x3 – x2 + 1)
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9.1 - Adding and Subtracting Polynomials

17. 9.1 - Adding and Subtracting Polynomials
Your Turn
Simplify (4x2 – 3x + 5) – (3x2 – x – 8)
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9.1 - Adding and Subtracting Polynomials

18. 9.1 - Adding and Subtracting Polynomials
Assignment
Worksheet
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9.1 - Adding and Subtracting Polynomials