Question

If q and p are zeros of the polynomial t2-4t+3=0

Answer 1

Answer:

please choose this answer as an branliest.

Step-by-step explanation:

The given polynomial is p (t ) = t 2 – 4t + 3

Given, p and q are the zeroes of the given polynomial.

t² - 4t + 3 = 0

t² - t - 3t + 3 = 0

t( t - 1 ) - 3( t - 1 ) = 0

( t - 1 )( t - 3 ) = 0

Therefore ,

t - 1 = 0 or t - 3 = 0

t = 1 or t = 3

p = 1 , q = 3

Now ,

1/p + 1/q - 2pq + 14/3

= 1/1 + 1/3 - 2 × 1 × 3 + 14/3

= 1 + 1/3 - 6 + 14/3

= - 5 + ( 1/3 + 14/3 )

= -5 + 15/3

= -5 + 5

= 0

Hence proved.