Question

the number of polynomials having zeros 2 and 1 is ​

Answer 1

Answer:

Step-by-step explanation:

ZEROES ARE 2,1

SUM OF ZEROES =2+1

                               =3

PRODUCT OF ZEROES = 2*1

                                         =2

QUADRATIC POLYNOMIAL=

=x²-sum of zeroes + product of zeroes

=x²- 3x +2  ANS

HOPE IT HELPS..........

Answer 2

Answer:

x² - 3x + 2

one quadratic polynomial

otherwise Infinite

Step-by-step explanation:

The number of polynomials having zeros 2 and 1 is

f(x) = (x-2)(x-1)

= x² - 2x - x + 2

= x² - 3x + 2

below polynomials will also have zeroes as 1 & 2

(x-2)(x² - 3x + 2) , (x-1)(x² - 3x + 2)  , (x-2)(x-1)(x² - 3x + 2)

in this way infinite polynomial can be generated

but there will be only one quadratic polynomial

x² - 3x + 2