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Suppose some of the zeros of f(x)=0 are 2,-5 and 1/2?

Please help me with this I am so lost.

Suppose some of the zeros of f(x)=0 are 2,-5 and 1/2, find the following.

Explain how you found the answers.

a. f(x-2)=0 b. f(x+6)=0 c. f(3x)=0 d.f(-1/4x)=0

2 Answers

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  • Anonymous
    8 years ago
    Favorite Answer

    Since some of the zeros of f (x)=0 are 2,-5, 1/2

    f (x)=(x-2)(x+5)(2x-1) Q (x), where Q (x) is some function in terms of x.

    a) So the zeros of (x-2-2)(x-2+5)(2(x-2)-1) Q (x-2)=f (x-2)=0 has 4, -3, 5/2 as some of the zeros.

    The rest r similar.

  • Danish
    Lv 5
    8 years ago

    is it zeros of f(x) are 2,-5,1/2 not some of zero

    then

    f(x)=(x-2)(x+5)(x-1/2)

    a . replace x by (x-2)

    f(x-2)=(x-2-2)(x-2+5)(x-2-1/2)

    =(x-4)(x+3)(x-5/2)

    =(x^2-x-12)(2x-2)/2

    =1/2(2x^3-7x^2-19x+60)

    similarly do b,c,d parts

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