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hanna
hanna asked in Science & MathematicsMathematics · 6 years ago

A few pre-cal questions help please?

12. Factor completely: 12x^4 - 16x^3 + 4x^2

16. Solve and simplify id possible: x^2/x-2 - 4/x-2

17. Give and example (by writing an equation) of each of the following:

a. A function whose domain is [0, infinity)

b. a function whose domain is (- infinity, infinity)

c. a function whose domain is (-invinity, 0) u (0, infinity)

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  • Jim
    Lv 7
    6 years ago
    Favorite Answer

    12. Factor completely: 12x^4 - 16x^3 + 4x^2

    (4x²)(3x² -4x +4)

    (4x²)(3x -1)(x -1)

    16. Solve and simplify id possible: x^2/x-2 - 4/x-2

    I ASSUME you meant x^2/(x-2) - 4/(x-2)

    So

    (x² -4)/(x-2)

    but

    x² -2 factors to (x +√2)(x-√2)

    so

    (x +√2)(x-√2)/(x-2)

  • lenpol7
    Lv 7
    6 years ago

    #12

    12x^4 - 16x^3 + 4x^2

    4x^2(3x^2 - 4x + 1)

    4x^2 (3x -1)(x - 1)

    #16

    x^2/x^-2 - 4/x^-2

    x^4 - 4x^2

    x^2( x^2 - 4)

    x^2(x - 2)(x + 2 )

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