Question

20.If the sum and product of
zeroes are -1, -2/5 , then find
the quadratic polynomial.​

Answer 1

Sum of zeroes= -1

and product of zeroes= -2/5

Since P(x)= x^2 - (Sumof zeroes)x + Product of zeroes

$= > p(x) = {x}^{2} - ( - 1)x + ( \frac{ - 2}{5} ) \\ = > {x}^{2} + x - \frac{2}{5} \\ = >p(x) = 5 {x}^{2} + 5x - 2$

So the required polynomial is 5x^2+5x-2

Hope it is Helpful