if x+1 is a factor of polynomial 2x square +kx then value of x =
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Answered by
225
Hey friend!
If x+1 is a factor of the given polynomial, then (-1) is a zero of the given polynomial.
Putting value of x = -1 in polynomial, we get,
2(-1)² + k(-1) = 0
=> 2(1) - k = 0
=> -k = -2
=> k = 2
Hope it helps.
@Ankit1234
#Moderator-Brainly
If x+1 is a factor of the given polynomial, then (-1) is a zero of the given polynomial.
Putting value of x = -1 in polynomial, we get,
2(-1)² + k(-1) = 0
=> 2(1) - k = 0
=> -k = -2
=> k = 2
Hope it helps.
@Ankit1234
#Moderator-Brainly
Answered by
6
Given,
The polynomial 2x² + kx is given whose factor is (x+1).
To find,
We have to find the value of k.
Solution,
The Value of k is 2 if x+1 is a factor of polynomial 2x² +kx.
We can simply find the value of k by synthetic division,
x+1 =0 is a factor of the polynomial 2x² + kx
then x=-1 will be the divisor for synthetic division.
By the synthetic division, we get 2-k as the remainder.
It is given that the (x+1) is a factor of 2x² + kx then the remainder must be 0
So, 2-k = 0
k = 2
Hence, the value of k is 2 if x+1 is a factor of polynomial 2x² +kx.
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