Question

if the sum of the zeros of the polynomial f(x) =2x³-3kx²+4x-5 is 6, then the value of k is​

Answer 1

$\textbf{Given:}$

$\mathsf{f(x)=2x^3-3kx^2+4x-5\;and}$

$\textsf{sum of zeroes of f(x) is 6}$

$\textbf{To find:}$

$\textsf{The value of k}$

$\textbf{Solution:}$

$\underline{\textbf{Concept:}}$

$\boxed{\mathsf{Sum\;of\;zeroes\;of\;ax^3+bx^2+cx+d\;is\;\dfrac{-b}{a}}}$

$\mathsf{Sum\;of\;zeroes=-\left(\dfrac{-3k}{2}\right)}$

$\mathsf{6=\dfrac{3k}{2}}$

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

$\implies\mathsf{k=2{\times}2}$

$\implies\boxed{\mathsf{k=4}}$

$\textbf{Find more:}$

If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k.thnx for said thanks for my ans...​

https://brainly.in/question/38602200

Answer 2

The value of k is 4.