Question

If ALPHA and BETA are the zeros of the polynomial f(x) = 3x2 – 2x – 21, then find the value of 1/ALpha - 1/BETA

Answer 1

Answer:

Given Polynomial:- 3x²-2x-7

Now..

Sum of zeroes=-b/a=-(-2)/3=2/3

Product of Zeroes=c/a=-7/3

ACCORDING TO THE QUESTION....

a/b+b/a

=)a²+b²/ab

= ( a + b)² - 2ab /ab

= ( 2/3)² - 2× -7/3 ÷ 7/3

= (4/9 + 14/3 ) ÷ 7/3

= 4 + 42/9 ÷ 7/3

= 46/9 ÷ 7/3

= 46/9 × 3/7

= 46/3 × 1/7

= 46/21

Hope it work