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Question
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by 2x + 1
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Solution
Let 2x + 1 = 0,
then 2x – 1
⇒ x = `-(1)/(2)`
Now substituting the value of x in f(x)
`f(-1/2) = 2(-1/2)^2 -3(-1/2)^2 + 4(-1/2) + 7`
= `2(-1/8) -3(1/4) + 4(-1/2) + 7`
= `-(1)/(4) - (3)/(4) - 2 + 7`
= –1 + – 2 + 7
= 4
∴ Remainder = 4.
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