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Mathematics 098 fifth homework
due Thursday, December 4, 2014
please show your work to get full credit for each problem
xy
1. Simplify the expression √ if x = 2.5×10500 , y = 8×10600 , and r = 4×10−300
r
2. For the division problem
x3 + 2x2 + x + 1
x+3
(a) Find the quotient using long division or synthetic division
(b) Check your answer using multiplication and adding the remainder
3. Solve the rational equation
2
3
1
+
=
3x
x+4
3
4. Simplify each rational expression:
− y22
2x − 5
2x − 11
(b) 2
− 2
(a)
x−y
x − 7x + 12 x − 9x + 20
2
x2
5. Simplify using rational exponents and exponent properties, and write your answer as a
radical:
√
√
2x5 · 3 −54x5
√
34x
6. Solve the equation:
√
1 − x2 =
1
2
7. Solve the equation: (1 + r)12 = 3/2