Q.

What should be added to the polynomial x2-5x+4, so that 3 is the zero of the resulting polynomial?


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a

2

b

1

c

0

d

3 

answer is A.

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Detailed Solution

Given equation is,
P(x)=x2-5x+4At x=3P(3)=32-5*3+4P(3)=9-15+4P(3)=-2
Here, -2 is remaining number,
Now if we want to make 3 as the polynomial's zero, we have to add 2 in the given polynomial.
Thus, the polynomial become,
Option 1 is correct.
 
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What should be added to the polynomial x2-5x+4, so that 3 is the zero of the resulting polynomial?