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Find a quadratic polynomial, the sum and product of whose zeroes are 
  • a)
    4x2 - x + 1
  • b)
    4x2 + x - 1
  • c)
    4x2 + x + 1
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find a quadratic polynomial, the sum and product of whose zeroes area)...
Let B and Á be the roots of a quadratic equation ax* + bx + c, where * =2
B + Á = -b/a = -4/1 and
BÁ = c/a (given)

. ' . ax* + bx + c =x + b/ax + c/a
=x -(-b/a)x + c/a
=x -(-1/4) x +1/4 [ ' . ' -b/a = -1/4 ; c/a =1/4]
=x +1/4x + 1/4
=4x +x +1,, which is the reason to be cited.
. ' . Option ' C ' is the correct answer.
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Community Answer
Find a quadratic polynomial, the sum and product of whose zeroes area)...
Sum of zero =b/c=-1/4

so b=1
a=4
product of zero =c/a
so
c=1
a=4
ax2+bx+c
4x2+1x+1
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