Question

if the sum of the zeros of the quardatic polynomial 4x²+kx+4,then find the value of k
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Answer 1

Answer:

Let the quadratic polynomial be ax2+bx+c

Then Sum of roots = −ab=41 

and Product of roots = ac=−1

i.e., ab=4−1 and ac=1−1

We select a =LCM(4,1)=4

Then 4b=4−1 and 4c=−1

⇒b=−1 and c=−4

Substituting a=4,b=−1,c=−4 in ax2+bx+c, 

we get the required polynomial f(x)=(4x2−x−4)

Comparing with given polynomial 4x2−x−k, we get k=4.

Step-by-step explanation:

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