Question

Form the quadratic polynomial p(X) with the sum and product of zeros as 2 and -3/5 resp.

Answer 1

Answer:

$\alpha + \beta = 2 \: \: and \: \alpha \beta = \frac{ - 3}{5}$

$k \: ( {x}^{2} - ( \alpha + \beta )x + ( \alpha \beta ))$

$k \: ( {x}^{2} - (2)x + ( \frac{ - 3 }{5} ))$

$k \: (5 {x}^{2} - 10x - 3)$

The polynomial is 5x²- 10x - 3 , where k not equal to zero

Hope it helps you