Question

find a quadratic polynomial whose zeros are given numbers as sum and product of its zeros respectively
1) 1/4, -1
2) √2 ,3√2
3) 0, √5
4) 1,1
5) √2, 2+√2
6) 0, -√3
7) 6, -3​

Answer 1

Answer:

1: sum of zeros =1/4-1= -3/4

product of zeros =1/4×(-1)= -1/4

1. 3: sum=0+root5= root 5.

product = 0×root5= 0

4: sum = 1+1= 2

product = 1×1= 1

6: sum = 0-root 3 = -root 3

product = 0×(-3root)= 0

7: sum = 6+(-3)= 3

product = 6×(-3) = -18