Question

If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .

Answer 1

Answer:

$\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}$

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: $x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}$

Plug in a for 2, b for 3, and c for -7 and you should find your roots.