Question

If the sum of the zeros of the polynomial f x is equals to 2 x cube minus k x square + 4 x minus 5 is 6 then find the value of k

Answer 1

hope it is useful plz comment

Answer 2

The value of k is 12.

Step-by-step explanation:

The given function is

$f(x)=2x^3-kx^2+4x-5$

It is given that the sum of the zeros of the polynomial f(x) is 6.

If a three degree polynomial is $P(x)=ax^3+bx^2+cx+d$, then the sum of  zeros of this polynomial is

Sum of zeros = -b/a

For the given equation a=2, b=-k, c=4 and d=-5.

$\text{Sum of zeros}=\dfrac{-(-k)}{2}$

$6=\dfrac{k}{2}$

Multiply both sides by 2.

$12=k$

Therefore, the value of k is 12.

#Learn more

If the sum of zeroes of polynomial p(x)=2x^2-kx+4is the same as the product of zeroes find the value of k.

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