2nd period 91.92 3rd period 89.95 4th period 92.28 7th period 90.11

Test Answers 1. 6y2 2. C 3. C 4. 1.4691 · 105 5. 6.4 · 1010 6. C 7. D 8. 2x6y3 9. C 10. 2.5 · 10-3 11. B 12. C 13. B 14. C 15. 16p2q6r10 16. 1/x5 17. B 18. D 19. -18x5y4 20. 16x4 21. 3x15 22. x5 23. 0.000 006 23

Polynomials

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.

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.

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.

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:

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 300 + 2t – 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?

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 -16t2 + 200t + 6, where t is the time in seconds. How high will the firework be when it explodes?

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. 24g3 + 10 + 7g5 – g2 4. 14 – x4 + 3x2 5 4 7g5 + 24g3 – g2 + 10; 7 –x4 + 3x2 + 14; –1

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 + 0.096v2 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? 727.65 ft