Question

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WHICH OF THE FOLLOWINGS ARE POLYNOMIAL EXPRESSION!:::-
A. 2x+3 B. 3y² - 2y + 4
C. a + 1/a D. root over 5x + 1
E. x²/2 - 3x + 7 F. root over x+2 - 3
NO NEED FOR EXPLANATION!!!​

Answer 1

A. 2x+3 and B. 3y² - 2y + 4 and E. x²/2 - 3x + 7 are polynomial expressions.

Answer 2

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If x=2 and x=3 are roots of the equation 3x

2

−2kx+2m=0 then (k,m)=

Medium

Solution

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Correct option is A)

Since x=2 and x=3 are roots of the equation 3x

2

−2kx+2m=0

⇒12−4k+2m=0⇒2k−m=6 ...(i)

and ⇒27−6k+2m=0⇒6k−2m=27 ...(ii)

On multiplying (i) by 3 and subtracting (ii) from it, we get

6k−3m=18

−

6

k

+

−

2m=

−

2

7

−m=−9

∴m=9

On putting m=9 in (i), we get

2k=15⇒k=

2

15

∴(k,m)=(

2

15

,9)

Hence, Option A is correct.