Remainder and Remainder Theorem

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 

• (x-1) (x+5) (x + 3) 

• (x+1) (x+5) (x-3) 

• (x+1) (x-5) (x-3) 

• Yes, x-3 is a factor of p(x) since the remainder is 0.

• No, x-3 is not a factor of p(x) since the remainder is 0.

• x-7 is a factor of p(x).

• x+7 is a factor of p(x).

• -7 is a solution of p(x).

• 7 is a solution of p(x).

Which statement accurately describes what this work demonstrates?

• 5 is a solution of p(x) since the remainder is 0.

• 5 is a solution of p(x) since the remainder is 100.

• 5 is not a solution of p(x) since the remainder is 0.

• 5 is not a solution of p(x) since the remainder is 100.

Complete the rest of this synthetic division problem.

Determine the remainder.

• The remainder is 18.

• The remainder is 0.

• The remainder is 108.

• The remainder is 28.

• 1 is a solution of p(x)

• 1 is not a solution of p(x)

• x -1 is a factor of p(x)

• x+1 is not a factor of p(x)

• x-5 is a factor of p(x) since 5 was a solution.

• x-5 is not a factor of p(x) since 5 was not a solution.

• x+5 is not a factor of p(x) since 5 was not a solution.

• x+5 is a factor of p(x) since 5 was a solution.