Question

Find the quadratic polynomial whos zeros are ‘0’ and ‘1’

Answer 1

Hey Mate , Here is your answer...

x^2 - (sum of zero's)x+ (product of zero's)

=x^2 -(0+1)x + 0×1

=x^2 - x

Hope you got your answer

Answer 2

Since 0 and 1 are zeros of the required quadratic polynomial.
Therefore, a = 0 and b = 1.
now, a+b = 0+1 = 1.
and ab = 0*1 = 0.
So, the required quadratic polynomial is-
$x ^{2} - (a + b)x + ab$
$x ^{2} - 1x + 0$
$x ^{2} - x$