Question

determine which of the following polynomials has (x+1) a factor
(1). x³-x²-(2+✓2)x+✓2

please give answer in photo​

Answer 1

Answer:

Let x+1 be the factor of p(x)

Then x = -1 will be the zero of p(x)

value of p(-1) should be 0

Checking,

=> p(-1) = (-1)3 + (-1)2 + (-1) + 1

=> -1 + 1 -1 + 1

=> 0

As p(-1)=0 so (x + 1) is a factor of p(x).