Question

Find a quadratic polynomial whose sum and product of roots are 2, -3/5​

Answer 1

Answer:

x^2-2x-3/5

Step-by-step explanation:

Let the 2 roots be A and B

Now, given that A+B=2, and AB=-3/5

Solving the 2 equations you get the values for A,B as:

$\frac{5-2\sqrt(10)}{5} , and \frac{5+2\sqrt(10)}{5}$

Therefore, substitute the values into (x-A)(x-B), fint eh product, and you will get you answer, which in this case, is : x^2-2x-3/5