show that X + 1 and 2 x minus 3 are factors of 2 x cube minus 9 X square + X + 12
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X +1 = 0
X = -1
2x³-9x²+X +12
2(-1)³-9(-1)²+(-1) + 12
-2-9-1+12
-12+12
0 = 0
2x-3 = 0
2x = 3
X = 3/2
2x³-9x²+X +12
2(3/2)³-8(3/2)²+(3/2)+12
54/8-72/4+3/2+12
38.25
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