find remainder 3x^2-2x+3 is divided by x-3
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Step-by-step explanation:
Given
f(x)=2x
3
−3x
2
+4x+7
Consider 2x+1=0⇒2x=−1⇒x=−
2
1
By remainder theorem, When f(x) is divided by (2x+1)
Remainder r=f(−
2
1
)
=2(−
2
1
)
3
−3(−
2
1
)
2
+4(−
2
1
)+7
=2(−
8
1
)−3(
4
1
)+4(−
2
1
)+7
=−
4
1
−
4
3
−2+7
=−1−2+7
=4
Therefore, remainder is 4.
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