Question

Find the remainder when p(x) = x - x -
(2 + 2) x + 2 is divided by (x + 1). Is
(x + 1) a factor of p(x)?​

Answer 1

Answer:

6 is the factor of p(x)

Step-by-step explanation:

finding factor : x + 1 = 0

x = -1

put x = -1 in p(x)

p(x) = x - x - (2 + 2) x + 2

= -1 - (-1) - (4) (-1) + 2

= -1 + 1 + 4 + 2

= 6

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hope it helps :)

Answer 2

Answer:

Reminder=6

(x+1) is not the factor of p(x)=x - x - (2 + 2) x + 2(given polynomial)

Step-by-step explanation:

Given that:-

p(x)=x - x - (2 + 2) x + 2

The above polynomial have to divide with (x=1)

By the remainder theorem:-

putting x= -1 in the above polynomial, we get:-

p(x)=x - x - (2 + 2) x + 2

=)p(x)=x - x - 4x + 2

=)p(-1)= -1-(-1)-4(-1)+2

=)p(-1)= -1+1+4+2

=)p(-1)= 4+2

=)p(-1)= 6 (ans)

Since after dividing the given polynomial with (x+1) it remainder is 6, which is not equals to 0 hence we can say that (x+1) is not the factor of p(x)=x - x - (2 + 2) x + 2 ------(polynomial)