Question

1. find a quadratic polynomial the sum of the zeroes is 0 and one zero is 5.
2. find a cubic polynomial with sum, sum of product taken two at a time and product as 5,-6,-20 respectively.
3. find a quadratic polynomial whose one zero is -5 and product of zero is 0.
4. if one zero of the quadratic polynomial 4x2-8kx-9 is negative of the other find "k".
5. if one zero of the polynomial x2-6x+k is double the other find k

Answer 1

1] x3-0x2-0x+0

3]x2+5x-0

Answer 2

Answer:

Answer :-

→ k = 0 .

Step-by-step explanation :-

It is given that,

→ One zeros of the given polynomial is negative of the other .

Let one zero of the given polynomial be x .

Then, the other zero is -x .

•°• Sum of zeros = x + ( - x ) = 0 .

But, Sum of zeros = -( coefficient of x )/( coefficient of x² ) = - ( -8k )/4 .

==> 2k = 0 .

==> k = 0/2 .

•°• k = 0 .

Hence, it is solved.