Question

34. If a and B are the zeros of the quadratic polynomial p(x) = x2 - 2x + 3, find a polynomial
whose zeros are a + 2 and B + 2.​

Answer 1

Autotrophs are organisms that can produce their own food, using materials from inorganic sources. The word “autotroph” comes from the root words “auto” for “self” and “troph” for “food.” An autotroph is an organism that feeds itself, without the assistance of any other organisms.

Answer 2

Answer:

f(x)=x

2

−2x+3 have zeroes α,β

⇒α+β=2

⇒α⋅β=3

Now polynomial having α+2,β+2 as roots is

p(x)=x

2

−(α+2+β+2)x+(α+2)(β+2)

=x

2

−(α+β+4)x+αβ+2(α+β)+4

=x

2

−(2+4)x+3+2(2)+4

⇒x

2

−6x+11