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    Radicals, word problems, and polynomials

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

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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.

    $2.19

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