Question

if x=2 is a root of polynomial f{x} = 2x square-3x+7k find k

Answer 1

Answer:

x=2 is the root of a polynomial.

2x-3x+7k=0.....(Given quadratic equation)

2(2) -3(2) +7k=0

4-6+7k=0

-2+7k=0

7k=2

k=2/7

Answer 2

Answer:

$\large{ \color{red}\bold{k = - \frac{2}{7} }}$

Step-by-step explanation:

$\bold{given} \\ \\ \bold{f(x) = 2 {x}^{2} - 3x + 7k} \\ \\ \bold{x = 2 \: \: is \: \: a \: \: zero \: \: f(x)} \\ \\ \bold{f(2) = 0} \\ \\ \bold{f(2) = 2 {(2)}^{2} - 3(2) + 7k} \\ \\ \bold{8 - 6 + 7k = 0} \\ \\ \bold{7k + 2 = 0} \\ \\ \bold{k = - \frac{2}{7} }$

$<marquee> HOPE IT HELPS$