SOLUTION: Please help me factor the following: 3x^3+192 2x^3-11x^2+12x+9 9x^2-3x-2 and 2x^5/4+x^3/4-15x^1/4 p.s. the 5/4, 3/4 and 1/4 in the above equation are exponents (2x raised to

Question 205233: Please help me factor the following:
3x^3+192
2x^3-11x^2+12x+9
9x^2-3x-2
and
2x^5/4+x^3/4-15x^1/4
p.s. the 5/4, 3/4 and 1/4 in the above equation are exponents (2x raised to the 5/4)
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor the following:
3x^3+192
= 3(x^3+64)
= 3(x^3+4^3)
= 3{x+4)(x^2-4x+16)
---------------------------------
2x^3-11x^2+12x+9
= (2x+1)(2x^2-12x+18)
---------------------------------
9x^2-3x-2
= 9x^2-6x+3x-2
= 3x(3x-2)+(3x-2)
= (3x-2)(3x+1
--------------------------------
and
2x^5/4+x^3/4-15x^1/4
x^(1/4)[2x^2 + x^(1/2) - 15)
--------------------------------
Cheers,
Stan H.
=====================================
p.s. the 5/4, 3/4 and 1/4 in the above equation are exponents (2x raised to the 5/4)

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