Question

24. The sum and the product of zeroes of a polynomial both are equal to 5.
Obtain the polynomial.
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Answer 1

If α, β be the zeros of the quadratic polynomial ,then

(x−α)(x−β) is the quadratic polynomial.

Thus, (x−α)(x−β) is the polynomial...

=x /2−αx−βx+αβ

=x/2

−x(α+β)+αβ(i)

(α+β)=−5αβ=3

Now putting the value of (α+β),αβ in equation (i) we get,x/2

−x(−5)+3

=x/2+5x+3

Hope it helps you...

Answer 2

Answer:

α, β be the zeros of the quadratic polynomial ,then

(x−α)(x−β) is the quadratic polynomial.

Thus, (x−α)(x−β) is the polynomial.

=x

2

−αx−βx+αβ

=x

2

−x(α+β)+αβ(i)

(α+β)=−5αβ=3

Now putting the value of (α+β),αβ in equation (i) we get,x

2

−x(−5)+3

=x

2

+5x+3

Step-by-step explanation:

Hope you like this answer dear.