Question

find a quadratic polynomial the sum and product of whose zeros are follows
-3and2​

Answer 1

Step-by-step explanation:

If zeros of quadratic polynomial f(x) are know, then find required polynomial by following formula

Let f(x)=k{x

2

−(sum of zeros)+x+product of zeros},

where k=a real number

Let f(x) be a polynomial

Sum and product of whose zeros are −3 and 2 respectively

f(x)=k[x

2

−(−3)x+2]=k[x

2

+3x+2] (∵k=real number)

Thus required polynomial f(x)=x

2

+3x+2

hope it help you plzz mark as brainlist

Answer 2

Answer:

Let the quadratic polynomial be ax

2

+bx+c and its zeros be α , β

We know that,

α+β=

a

−b

=

1

−(−11)

α×β=

a

c

=

1

10

If, a=1, b=11, c=10

Therefore,

The quadratic equation which fits the condition is x

2

+11x+10