If fx - 5x - 10 is divided by x - -2- then the remainder will be

The correct option is B an irrational number nbsp;Given f(x)=5x 10 division x √( 2 ) ∴ Remainder is f(a) =5√( 2 ) 10 ...

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Byju's Answer

Standard IX

Mathematics

Remainder Theorem

If fx = 5x ...

Question

If $f (x) = 5 x - 10$ is divided by $x - \sqrt{2}$ , then the remainder will be

a non-zero rational number

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an irrational number

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zero

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f (\frac{1}{\sqrt{2}})

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Solution

The correct option is B an irrational number
$G i v e n f (x) = 5 x - 10 d i v i s i o n x - \sqrt{2} ∴ R e m a i n d e r i s f (a) = 5 \sqrt{2} - 10 = 5 (\sqrt{2} - 2) \sqrt{2} i s a n i r r a t i o n a l n u m b e r . ∴ f (a) i s i r r a t i o n a l .$

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If f(x)=5x−10 is divided by x−√2, then the remainder will be

The correct option is B an irrational numberGivenf(x)=5x−10divisionx−√2∴Remainderisf(a)=5√2−10=5(√2−2)√2isanirrationalnumber.∴f(a)isirrational.

If $f (x) = 5 x - 10$ is divided by $x - \sqrt{2}$ , then the remainder will be

The correct option is B an irrational number
$G i v e n f (x) = 5 x - 10 d i v i s i o n x - \sqrt{2} ∴ R e m a i n d e r i s f (a) = 5 \sqrt{2} - 10 = 5 (\sqrt{2} - 2) \sqrt{2} i s a n i r r a t i o n a l n u m b e r . ∴ f (a) i s i r r a t i o n a l .$