Question

find the value of k , if x-2 is a factor of x²+4x+6k​

Answer 1

Answer:

K is equal to (-2)

Step-by-step explanation:

Since x-2 is a factor of x

${x}^{2} + 4x + 6k$

therefore put x=2 in the equation and equate it with 0

$( {2}^{2}) + 4 \times 2 + 6k = 0$

12+6k =0

This means that k = (-12)/6

k is equal to (-2)

Answer 2

$\huge\bf\underline{Answer}:$

$\large \leadsto \sf k = -2$

$\huge\bf\underline{Solution}:$

If (x-2) is factor of x²+4x+6k​

then , x will be equal to 2 .

So, x = 2

Here , we have to put the value of x in given Equation,

$\leadsto \bf x^2+ 4x+6k \\\\ \sf \implies 2^2 + 4 \times 2 + 6k = 0 \\\\ \sf \implies 4 + 8 + 6k = 0 \\\\\implies \sf 12 + 6k = 0 \\\\ \sf \implies 6k = -12 \\\\ \implies\underline{\boxed{{ \pink{k = -2}}}}$

Therefore,

$\textbf{Value of k is -2}$