Question

if a and b are zeroes of the polynomial p(n) = n^2 -5n +6 , then find the value of a+b-ab​

Answer 1

Answer:

-1

Step-by-step explanation:

The given polynomial can be considered a quadratic in n such that

n^2 - 5n + 6 = 0

The zeroes of the polynomial are the roots of the quadratic equation given above. Let them be a and b.

Now, sum of roots = a + b = - ( co - eff. of n)/ (co - eff of n^2)

= 5

and product of roots = ab = constant term / (co - eff of n^2) = 6

Therefore , a + b - ab = 5 - 6 = -1 ( Ans)

Hope this was helpful.