Question

. If a and B are zeroes of x2 – 2x – 1, form a quadratic polynomial whose zeroes are 2a - 1
and 2B - 1​

Answer 1

Answer:

$x^2-2x-7=0$

Step-by-step explanation:

*Note : I'm using relation between coefficients and zeros of a polynomial.

Know that :

• $a+B=2$ (sum of zeros)
• $aB=-1$ (multiple of zeros)

Also :

• $2(a+B-1)=2$ (sum of zeros)
• $4aB-2(a+B)+1=-7$ (multiple of zeros)

'A quadratic polynomial whose zeroes are 2a - 1 and 2B - 1' is $x^2-2x-7=0$.