# 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?

https://brainmass.com/math/basic-algebra/radicals-word-problems-polynomials-254305

#### Solution Preview

Please open attachment for solution.

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.