Question

Find a Quadratic polynomial whose zeros are 0 and 1

Answer 1

Hiii friend,


Let Alpha = 0 and Beta = 1


Sum of zeroes = (Alpha + Beta) = (0+1) = 1


And,


Product of zeroes =(Alpha × Beta) = 0 × 1 = 0

Therefore,


Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes


=> X²-(1)X + 0


=> X²-X



HOPE IT WILL HELP YOU.... :-)

Answer 2

Hii Mate here is your Answer,

It is given that,

$\alpha = 0 \: \: and \: \: \beta = 1$

There is an Formula for framing a quadratic polynomial if its zeros are given...

That Formula is

$k( \: {x}^{2} - ( \alpha + \beta )x + \alpha \beta )$
So, we have to only insert given values that is

k[x^2- (0+1) + 0×1]

= k [ x^2 -x + 0]

= x^2 -x

Here k = 1
K is a constant.

Hope this helps you a lot...☺♤♢♧☆☆☆☆☆