Math, asked by BablooRider, 1 year ago

if x+1 is a factor of polynomial 2x square +kx then value of x =

Answers

Answered by Ankit1234
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
Answered by SteffiPaul
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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