Question

Find a quadratic polynomial the sum and product of whose zeros are 0 and -3/5 respectively

Answer 1

Sum of zeroes =s=0
Product of zeroes =p=-3/5
So reqd eqn is
x²-sx+p=0
x²-3/5=0
5x²-3=0

Answer 2

Answer:

$5x^{2}-3=0$

Step-by-step explanation:

The sum of the zeroes of the polynomial is equal to 0 and the productof the zeroes of the polynomial is equal to $\frac{-3}{5}$.

Then the equation for the required quadratic polynomial is given as:

$x^{2}+(sum of zeroes)x+(product of zeroes)=0$

$x^{2}+(0)x+(\frac{-3}{5})=0$

$x^{2}-\frac{-3}{5}=0$

$5x^{2}-3=0$

which is the required quadratic polynomial.