Question

If alpha..................... ​

Answer 1

Hope this will be the right answer ..
I just made it in rough..

Answer 2

Answer:

Step-by-step explanation:

Its so easy dude:-

We have the given polynomial t²-t-4.

Alpha and beta are the zeroes of the given polynomial.

Sum of zeroes= -b/a

Alpha+beta = -(-1)/1

= 1. ....i)

Product of zeroes = c/a

Alpha × beta = -4/1

= -4. .....ii)

According to question, we have to find the polynomial whose zeroes are 1/Alpha and 1/beta.

Sum of zeroes= 1/Alpha +1/ beta

= Beta + Alpha/alpha× beta

=. 1/-4.

Product of zeroes= 1/ Alpha × 1/beta

=. 1/ Alpha × beta

= 1/-4.

Put the values in quadratic polynomial i.e. x²-sx+p

= x²-(1/-4)x+(1/-4)

= x²+1/4x - 1/4

Multiply whole by 4; we get

= 4x²+1x - 1. Ans