1. 2nd period
3rd period
4th period
7th period

2. Test Answers
1. 6y2
2. C
3. C
· 105
· 1010
6. C
7. D
8. 2x6y3
9. C
· 10-3
11. B
12. C
13. B
14. C
p2q6r10
16. 1/x5
17. B
18. D
x5y4 x4
21. 3x15
22. x5

3. Polynomials

4. Polynomials
A polynomial is a term or the sum or difference of two or more terms.
A polynomial has no variables in the denominator.
The “degree of a term” is the exponent of the variable (4x3 is a 3rd degree term).
The “degree of the polynomial” is the same as the degree of the term with the highest degree.
(x5 + 4x3 – 3x + 2 is a fifth degree polynomial)
Polynomials in standard form are in order of degree from highest to lowest with the constant at the end.

5. Polynomials By Terms A polynomial with one term is called a monomial.
A polynomial with two terms is called a binomial.
A polynomial with three terms is called a trinomial.

6. Polynomials by Degrees
A first degree polynomial is linear.
A second degree polynomial is quadratic.
A third degree polynomial is cubic.
A polynomial with no variable is called a constant.

7. Examples 1 and 2
Name the degree of each term and each polynomial. Put them in standard form.
Degree of each term 5, 3, 1, and 0
Degree of the polynomial 5
It’s in standard form.
New Problem:
Degree of each term 1, 2, 0, and 3
Degree of the polynomial 3rd
In standard form, it is:

8. Example 3 An egg is thrown off the top of a building.
Its height in meters above the ground can be
approximated by the polynomial t – 4.9t2,
where t is the time since it was thrown in seconds.
How high is the egg above the ground after 5 seconds?
How high is the egg above the ground after 6 seconds?

10. Example 4
A firework is launched from a platform 6 feet above the ground at a speed of 200 feet per second. The firework has a 5-second fuse. The height of the firework in feet is given by the polynomial -16t t + 6, where t is the time in seconds. How high will the firework be when it explodes?

11. Try these…
Find the degree of each polynomial.
1. 7a3b2 – 2a4 + 4b – 15
2. 25x2 – 3x4
Write each polynomial in standard form. Then give the leading coefficient.
3. 24g g5 – g2
4. 14 – x4 + 3x2 5 4
7g5 + 24g3 – g2 + 10; 7
–x4 + 3x2 + 14; –1

12. Try these…
Classify each polynomial according to its degree and number of terms.
5. 18x2 – 12x + 5
quadratic trinomial
6. 2x4 – 1
quartic binomial
7. The polynomial 3.675v v2 is used to estimate the stopping distance in feet for a car whose speed is v miles per hour on flat dry pavement. What is the stopping distance for a car traveling at 70 miles per hour? ft