Find the remainder when 4x3 – 12x2 + 14x – 7 is divided by 2x – 3.
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-83 / 2
Step-by-step explanation:
By Remainder theorem,
2x - 3 = 0
2x = 3
x = 3/2
Putting the value of x,
4x^3 - 12x^2 + 14x - 7
4(3/2)^3 - 12(3/2)^2 + 14(3/2) - 7
4(27/8) - 12(9/4) + 14(3/2) - 7
27/2 - 27 - 21 - 7
27/2 - 55
27 - 110 / 2
-83 / 2
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