Question

if alpha and beta are zeros of x²-x-2, find a polynomial whose zeros are 2alpha+1 and 2beta+1

Answer 1

I hope it will help you.

Answer 2

Thank you for asking this question. Here is your answer:

x²-3x+2=0

=x²-x-2x+2=0

=x(x-1)-2(x-1)=0

(x-1)(x-2)=0x=1

or ,

x=2 given zeroes of quadratic polynomial 1/2alpha+beta

1/2beta+alpha substitute=1/2(1)+2

1/2(2)+1=1/4

1/5formula is x²-(alpha+beta)x+alpha*beta =0therefore x²-

(1/4+1/5)x+1/4*1/5=0=ans is 20x^2 - 9x +1 =0

If there is any confusion please leave a comment below.