Find the remainder and quoitent are the xcube-3xsquare+6x - 15 is divide by x-3
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Answer = 3
Step-by-step explanation:
solution:>
to find remainder:-
x³-3x²+6x-15 when divided by x-3.
according to the remainder theorem
put x-3=0 => x= + 3 in the given polynomial the
remainder is. found.
=>>>>> (3)³ - 3 (3)²+6×(3)-15
= +27-27+18-15
= 3
to find quotient and remainder:-
x³-3x²+6x-15
= x³-3x²+6x-18 +3
= x²( x-3) + 6( x-3) +3
= (x²+6) (x-3) + 3
divident=quotient× divisor + remainder
comparing we have
quotient= x²+6
remainder= 3
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