Question

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

Answer 1

`(-√(65) - 3 )/(4), (√(65) + 3)/(4)`

Explanation:

Since we cannot factor the expression, we must use quadratic formula:
`x = (-b +/-√(b^2 - 4ac) )/(2a)`

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