Question

if x+1 is a factor of polynomial 2x square +4k then find the value of k​

Answer 1

Answer:

Step-by-step explanation:

We know that x+1 is factor of polynomial 2x^2 + 4k

Also if x+1=0

Then x = -1

Therefore,

Putting value of x we get,

2( -1 )^2 + 4k = 0

2 + 4k = 0

K= -2/4

= -1/2

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Answer 2

Given that
$(x + 1) \: is \: factor \: of \: {2x}^{2} + 4k$
then
$( - 1) is \: the \: zero \: value \: of \: the \: polynomial$
substitute -1 in values of x and equate it to zero because (-1) is the zero value of the polynomial...

$2( { - 1}^{2} ) + 4k = 0$
$2(1) + 4k = 0$
$2 + 4k = 0$
$- 2 = 4k$
by substitution!

$k = \frac{ - 2}{4}$
thanks ... hope this helps you