Question

27
HOTS Ifa and ß are the zeroes of the quadratic
polynomial f(x)= x² + x -2, then find a polynomial
whose zeroes are 2a +1 and 2B+1 ​

Answer 1

Step-by-step explanation:

f(x)= x^2+x-2

=x^2-2x+x-2

=x(x-2)+1(x-2)

=(x+1)(x-2)

= A=-1 and B=2

zeros= 2A+1

=2*-1+1

=-1

and, =2B+1

=2*2+1

=5

sum of zeroes=A+B=-b/a

= -1+5=4

product of zeroes=AB=c/a

=-1*5=-5

-b/a=4/1

also, c/a=-5/1

a=1

b=-4

c=-5

required eq= x^2-4x-5