Question

.The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is ​

Answer 1

Given: sum of zeroes is 3 and product of zeroes is −2

Let the zeroes of the polynomial be α,β

According to the question,

α+β=3,αβ=−2

We know, α+β=−

a

b

=3⟹b=−3a ... (i)

And, αβ=

a

c

=−2⟹c=−2a ... (ii)

Now, the general form of quadratic equation is:

ax

2

+bx+c=0

From equation (i) and (ii), we get

ax

2

+(−3a)x+(−2a)=0

⟹a(x

2

−3x−2)=0

Hence, the required polynomial is x

2

−3x−2=0

Answer 2

Step-by-step explanation:

same as first one ok ok ok