Question

if the product of zeros of polynomial f(x) =4 x^2+3x+kis 4 then the value of k is

Answer 1

Answer:

16

Step-by-step explanation:

For a quadratic

  ax² + bx + c

the product of the roots is

  c/a.

So for the quadratic

  4x² + 3x + k

which corresponds to a=4, b=3 and c=k, the product of the roots is k/4.  We are told that this is 4, so

  k/4 = 4   ⇒   k = 16.

Answer 2

Answer:

k=8

Step-by-step explanation:

f(x)=4x^2+3x+k

product of zeros=αß=c/a

c=k,a=4

product of zeros=4  (given)

αß=c/a

k/4=4

k=8

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