Question

If the sum of the zeros of the polynomial f(x)= 2x²-3kx+4 is 6, then the value of k is


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Answer 1

Answer:

the value of k is 4

Step-by-step explanation:

sum of zeroes of the polynomial = - b/a

- ( -3k / 2 ) = 6

3k = 12

k = 4

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Answer 2

Given,

f(x) = 2x²-3kx+4

Sum of the zeroes of the polynomial = 6

To find,

The value of k.

Solution,

The value of k in f(x) = 2x²-3kx+4 will be 4.

We can easily solve this problem by following the given steps.

According to the question,

f(x) = 2x²-3kx+4

So, this polynomial is in the form of the quadratic equation, ax²+bx+c.

Then, we have

a = 2

b = -3k

c = 4

We know that the sum of the zeroes of the equation is given by -b/a and the product of the zeroes is given by c/a.

Sum of zeroes = 6

-b/a = 6

-(-3k)/2 = 6

3k/2 = 6

Using the cross multiplication method,

3k = (6×2)

3k = 12

k = 12/3

k = 4

Hence, the value of k in f(x) = 2x²-3kx+4 is 4.