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Radicals, word problems, and polynomials

5.5 factor each polynomial completely
81 - q^4

Section 6
Reducing radical expressions
EX 104)

EX 22)
Ex 88) 88. Traveling time. After leaving Moose Jaw, Hanson drove
200 kilometers at x km/hr and then decreased his speed by
20 km/hr and drove 240 additional kilometers. Make a table
like the one in Exercise 87.Write a rational expression for
his total traveling time. Evaluate the expression for x _ 100.

Simplify each complex fraction
Ex 50

Extraneous solutions
Ex # 40

Product rule for radicals
9.1 # 38 √(〖36n〗^2 )
simplify
9.2 #102 -(27-4/3)/8
Multiply radicals
9.3 #38
√(2&5c-) √(5&5)
Simplify radicals
9.4 # 14
√(3/8)
Powers of radical expressions
9.4 #62 (2 √(y〖) 〗^3 )
Equations involving radicals
9.5 ex #34
∛(a+3=) ∛(2a-7)

Solve by using quadratic formula
10.1 ex #84
1/4 x^(2 )+17/4 - 2x
Find real or imaginary solutions
10.2 w^2+9 - 0
10.3 # 92Time off for lunch. It usually takes Eva 3 hours longer to
do the monthly payroll than it takes Cicely. They start
working on it together at 9:00 A.M. and at 5:00 P.M. they
have 90% of it done. If Eva took a 2-hour lunch break
while Cicely had none, then how much longer will it
take for them to finish the payroll working together?

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5.5 factor each polynomial completely
81 -
= 34 - q4
= (32 - q2) (32 + q2)
= (3 + q) (3 - q) (3 + qi) (3 - qi)
Section 6
Reducing radical expressions
EX 104)
=
=
=
=
=
EX 22)
36c8 / 12c5 = 3c3 / 1 = 3c3
3c3 * 7b = 21bc3. Therefore, the numerator on the right fraction is 21bc3.

Ex 88) 88. Traveling time. After leaving Moose Jaw, Hanson drove
200 kilometers at x km/hr and then decreased his speed by
20 km/hr and drove 240 additional kilometers. Make a table
like the one in Exercise 87.Write a rational expression for
his total traveling ...

Solution Summary

This provides examples of working with a variety of algebra topics, including factoring, word problems, and radical expressions.

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