2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.
(i)
(ii)
(iii)
(iv) 1, 1
(v)
(vi) 4, 1
(i)
Let quadratic polynomial be
Let
and
are two zeroes of above quadratic polynomial.
It is given that
+
=
which is equal to
Also, it is given that
=-1 which is equal to
Quadratic polynomial which satisfies above conditions=
(ii)
Let quadratic polynomial be
Let
and
be two zeros of above quadratic polynomial.
It is given that
+
=
which is equal to
Also, it is given that
which is equal to
Quadratic polynomial which satisfies above conditions=
(iii)
Let quadratic polynomial be
Let
and
be two zeros of above quadratic polynomial.
It is given that
which is equal to
Also, it is given that
which is equal to
Quadratic polynomial which satisfies above conditions=
(iv)
1, 1
Let quadratic polynomial be
Let
and
be two zeros of above quadratic polynomial.
It is given that
which is equal to
Also, it is given that
which is equal to
Quadratic polynomial which satisfies above conditions=
(v)
Let quadratic polynomial be
Let
and
be two zeros of above quadratic polynomial.
It is given that
which is equal to
Also, it is given that
which is equal to
Quadratic polynomial which satisfies above conditions=
(vi)
4, 1
Let quadratic polynomial be
Let
and
be two zeros of above quadratic polynomial.
It is given that
which is equal to
Also, it is given that
which is equal to
Quadratic polynomial which satisfies above conditions=
Sahil says
It is very easy to under stand because of this I under stand this question and thanks it is useful 😀😀😀