Question

determine x+1 is a factor of p(x) =x³-x² −(2+√2)x+√(2​

Answer 1

Answer:

sorry I am weak in maths sorry yaar

Answer 2

Given

Determine x+1 is a factor of p(x) =x³-x² −(2+√2)x+√(2​

Solution

Applying remainder theorem, we get

x+1=0

x=−1

Now

x³-x²−(2+ $\sqrt{2}$x+$\sqrt{2}$)

Replacing x with −1, we get

=(−1)  

3

−(−1)  

2

−(2+  

2

​  

)(−1)+  

2

​  

 

=−1−1+2+  

2

​  

+  

2

​  

 

=2  

2

Hence, (x+1) is not a factor of polynomial x  

3

−x  

2

−(2+  

2

​  

)x+  

2

​  

.

​  

​