Question

If α and β are the zeroes of the polynomial x² + 3 x + 2, what is the value of 1/α+1/β.​

Answer 1

Step-by-step explanation:

x^2 +3x+2= x^2 + x +2x +2

=(x+1)(x+2)

x= -1 and x= -2

1/a + 1/b=a+b÷ab

a+b = -3/1

ab = 2

1/a +1/b= -3/2