Question

If a and b are zeros of the polynomial x^2 + x +1, then 1/a + 1/b =
1 point
1
-1
0
None of these
​

Answer 1

Answer:

-1

Step-by-step explanation:

given a and b are the roots

we know that sum of the roots = -b/a.

a + b = -1

product of the roots= c/a

a × b = 1

now,

1/a+1/b=a+b/ab

= -1/1

=-1

Answer 2

Answer:

1/a + 1/b = - 1

Step-by-step explanation:

Given :

a and b are zeros of p(x) = x² + x + 1

Sum of zeros = a + b = - 1

Product of zeros = ab = 1

Now, 1/a + 1/b

= (b + a)/(ab)

= (a + b)/(ab)

= - 1/1

= - 1

Formula used:

Sum of zeros = - b/a

Product of zeros = c/a

#shivam