What is the remainder when 2x³ + 3x² - 8x + 4 is divided by x - 1nonsense-report. Created by karlynekaeperalta.

What is the remainder when 2x³ + 3x² - 8x + 4 is divided by x

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December 2022 1 2 Report

What is the remainder when 2x³ + 3x² - 8x + 4 is divided by x - 1

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jsicatiwari 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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