2010
Mathematics
67ca00ce0c643c71d77dee1f
Factorize completely (x3+3x2-10x)/(2x2-8)
A.
x(x-5)/2(x+2)
B.
x(x-5)/2(x-2)
C.
x(x+5)/2(x+2)
D.
x2+5/2x+4
Correct Answer: x(x+5)/2(x+2)
Explanation
x3 + 3x2 − 10x/2x2 − 8 = x(x2 + 3x − 10)/2(x2 − 4) = x(x2 − 2x +5x − 10)/2(x − 2)(x + 2) = x(x − 2)(x + 5)/2(x − 2)(x + 2) = x(x + 5)/2(x + 2)
x3 + 3x2 − 10x/2x2 − 8 = x(x2 + 3x − 10)/2(x2 − 4) = x(x2 − 2x +5x − 10)/2(x − 2)(x + 2) = x(x − 2)(x + 5)/2(x − 2)(x + 2) = x(x + 5)/2(x + 2)THIS WEEK's
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