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math

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the volume of a rectangular solid is given by expressions given below.in each case find the dimentions of the solid.

a)15x^2-51x+18.

b)x^3+13x^2+32x+20.

c)x^2-5x/2-3/2.

d)x^4+x^3-x-1


plz everyone help me out.till 2 o'clock...plz plz plz

  • math -

    Factorize:
    a)15x^2-51x+18.
    =15x^2-45x -6x+18
    =15x(x-3) - 6(x-3)
    =(15x-6)(x-3)

    b) x^3+13x^2+32x+20.
    Notice that by changing the sign of odd powers, the coefficients add up to zero:
    -1+13-32+20=0
    So x+1 is a factor.
    Divide by x+1 gives
    x^2+12x+20
    which factorizes readily to
    (x+2)(x+10)
    So the whole factorization is:
    (x+1)(x+2)(x+10)

    (c) x^2-5x/2-3/2.
    =(1/2)(2x^2-5x-3)
    =(1/2)[2x^2+x - 3(2x+1)]
    =(1/2)[x(2x+1)-3(2x+1)]
    =(1/2)(x-3)(2x+1)

    (d) will be left as a practice for you.

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