Question

if alpha and beta are the zeros of the polynomial x2-5x+6,find a quadratic polynomial whose zeros are( 2alpha -1) and (2beta -1)​

Answer 1

Answer:

2alpha-1=3

2 beta-1=5

Step-by-step explanation:

f(x)=x2-5x+6

x2-5x+6=0

x2-2x-3x+6=0

x(x-2)-3(x-6)=0

(x-2)(x-3)=0

therefor:alpha=2

beta=3

so,2alpha-1=2×2-1

=3

2beta-1=2×3-1

=5