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Question

If the zeros of the quadratic polynomial x2+(a+1)x+b are 2 and −3, then

A
a=7,b=1
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B
a=5,b=1
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C
a=2,b=6
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D
a=0,b=6
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Solution

The correct option is D a=0,b=6
x2+(a+1)x+b is the quadratic polynomial.

2 and 3 are the zeros of the quadratic polynomial.
Thus, 2+(3)=(a+1)1
=>(a+1)1=1
=>a+1=1
=>a=0
Also, 2×(3)=b
=>b=6

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