Question

If a and b are the zeros of the polynomial f(x) = x2 - 2x + 3, then find a quadratic
polynomial whose zeros are a + 2 and B +2​

Answer 1

is given that a and b are zeros of polynomial f(x)=x2-2x+3.

Therefore, a+b=2

ab=3

Now, the zeroes of the required quadratic polynomial are

Sum of roots = Similarly, we get Product of roots = 1/3

Now, the required quadratic polynomial is given by:

x2 - (Sum of roots)x + (Product of roots)

i.e., x2 - (2/3)x + (1/3)

Answer 2

I am sure this answer will help you