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Q.

What should be subtracted to the polynomial x 2 −16x+30  , so that 15 is the zero of the resulting polynomial?


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a

30

b

14

c

15

d

        16 

answer is C.

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Detailed Solution

Given polynomial f(x)= x 2 −16x+30.  
Substitute x = 15 into the equation,
⇒f(x)= 15 2 −16 15 +30 ⇒f(x)=225−240+30 ⇒f(x)   =15 ⇒f(x) −15=0  
Therefore 15 must be subtracted from the polynomial x 2 −16x+30  , so that 15 is the zero of the resulting polynomial.
Hence the correct option is 3.
 
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