Find the remainder when 3x3 - 4x2 +7x - 5 is divided by x - 3
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Answer:-
p(x) = 3x3 - 4x2 + 7x - 5
Remainder when (x - 3) divides p(x) is
= p(3) = 3 33 - 4 32 + 7 3 - 5
= 3 27 - 4 9 + 21 - 5 = 61
Remainder when (x + 3) divides p(x) is
= p(-3) = 3 (-3)3 - 4(-3)2 + 7 (-3) - 5
= 3 (-27) - 4 9 - 21 - 5
= -143
Therefore, the required remainders are 61 and -143.
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