When p x -4 x 3-12 x 3-11 x -5 is divided by 2 x -1- the remainder isA- 0B- -5C- -2D- 2

The correct option is C 2 When p(x) is divided by (2x 1), we get =p ( 1/2 )={ 4 ×(1/2 )^3 12 ×(1/2 )^2+11 ×1/2 5 } = ( 4 ×1/8 12 ×1/4+11/2 5 )= ( 1/2 3+11/2 ...

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Byju's Answer

Standard IX

Mathematics

Remainder Theorem

When p x =4 x...

Question

When $p (x) = 4 x^{3} - 12 x^{3} + 11 x - 5$ is divided by (2x - 1), the remainder is

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-5

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-2

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Solution

The correct option is C
-2

When p(x) is divided by (2x-1), we get
$= p (\frac{1}{2}) = {4 \times {(\frac{1}{2})}^{3} - 12 \times {(\frac{1}{2})}^{2} + 11 \times \frac{1}{2} - 5} = (4 \times \frac{1}{8} - 12 \times \frac{1}{4} + \frac{11}{2} - 5) = (\frac{1}{2} - 3 + \frac{11}{2} - 5) = - 2$
Hence remainder is -2.

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When p(x)=4x3−12x3+11x−5 is divided by (2x - 1), the remainder is

The correct option is C -2 When p(x) is divided by (2x-1), we get =p(12)={4×(12)3−12×(12)2+11×12−5}=(4×18−12×14+112−5)=(12−3+112−5)=−2 Hence remainder is -2.

When $p (x) = 4 x^{3} - 12 x^{3} + 11 x - 5$ is divided by (2x - 1), the remainder is