Question

If a and b are the zeroes of the polynomial
2x2+2x+4, then 1/a +1/b=?

​

Answer 1

Answer:

$\frac{ - 1}{2}$

Step-by-step explanation:

Given polynomial :

$2 {x}^{2} + 2x \: + 4 \\ sum \: of \: zeros \: = a \: + b \: = \frac{ - 2}{2} = - 1 \\ product \: of \: zeros = \: ab \: = \frac{4}{2} = 2 \\ therefore \: \frac{1}{a} + \frac{1}{b} = \frac{a + b}{ab} = \frac{ - 1}{2} answer.$