Warm-up
Answers:
Homework Answers: P3 (55-58 all,83-90 all, 91-99 odds, 101-108 all)
•55. 556. 2 57. -258. -5
•83. 684. 11 85. 286. 3
•87. 2588. 489. 1/1690. 1024
•91. 14x1/4 93. 4x1/4 95. x297. 5x2|y|3
•99. 27y2/3101. 51/2102. 71/2 103. x2
•104. x3105. x2/3106. x2/3 107. x2/3 y1/3
•108. x1/3 y2/3
Notes P4:Simplifying Polynomial Expressions
•Polynomials–
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The degree of the polynomial isdetermined by the highest exponent.
Is a polynomial of degree 5. There are 3 terms,so it is called a trinomial!
What happens if there are twovariables?
•You must add the two variable exponentstogether!
3x2y3 - 4xy2 + 7y
Add 2 + 3 = 5, the degree of thispolynomial is 5.
Polynomial or NOT?
•A polynomial cannothave a negative orrational exponent! Itcan only have additionand subtraction ofterms: no division.
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Non-Examples:
Add, Subtract, Multiply or Divide
Ex 1:
Answer:
Ex 2:
Ex 3:
Ex 4:
(7x+4)(8x-9)
(5x-3)2 = 25x2 - 30x + 9
YOU TRY:
Answers:
(3x- 4)-6
(3x-4)-2
b:
d:
a: (3x2 - 4x) – (-6x2 - 5x + 3)
c:
(3x2 - 4x) (-6x2 - 5x + 3)
(3x2 - 4x) +(-6x2 - 5x + 3)
a.9x2 + x – 3
b. -3x2 –9x+3
c. -18x4+9x3+29x2-12x
d. (3x-4)–4 = 1/(3x-4)4
Summary:
Explain how to find the degree of apolynomial with two variables?