Question

Find a quadratic polynomial, the sum and product of whose zeroes are respectively -2 and 1

Answer 1

Put the sum and product of zeroes in x² -(sum of zeroes) x + product of zeroes, to get the required quadratic polynomial.
GIVEN:
sum of zeroes = -2
product of zeroes = 1
The required quadratic polynomial =[ x² -(sum of zeroes) x + product of zeroes]
The required quadratic polynomial= (x² -(-2) x + 1 = x² +2x +1
Hence, The required quadratic polynomial= x² +2x +1

HOPE THIS WILL HELP YOU...

Answer 2

Hi Mate !!

Given :- Sum of Zeros = ( - 2 )

Product of Zeros = ( 1 )


• To form quadratic equation we have
formula as :-

x² - ( Sum of Zeros )x +( Product of Zeros)

x² - ( - 2 )x + 1

x² + 2x + 1

So, the required equation is x² + 2x + 1