Question

Find a quadratic polynomial, the sum and the product of whose zeroes are -3/5, 4/5.​

Answer 1

Answer:

α=3+

5

and β=3

5

Sum of zeros =α+β=3+

5

+3−

5

=6

Product of zeros =αβ=(3+

5

)(3−

5

)=9−5=4

Also, Sum of roots =

a

−b

=−

1

6

Product of roots =

a

c

=

1

4

⟹a=1,b=−6 and c=4

Hence, the quadratic polynomial is x

2

−6x+4