What is the remainder?

What should be inside the expression inside the next blank?

 Which of the following theorem states that “When we divide a polynomial f(x) by x−c the remainder is f(c)”?

Find the remainder when $5x^2-2x+1$ is divided by (x+ 2).

Using the Remainder Theorem, what is the remainder when  $x^4-x^3+2\$ is divided by (x+ 2).

What is the remainder when  $6x^{207}+5$ is divided by (x-1).

Arrange the sequence of operations involved in dividing polynomials by long division:

 Arrange the Arrange the sequence of operations involved in synthetic division:

Dani divided  $7x^3-10x+11x^2-5$  by (x+3) and obtained -317 as remainder as her solution. What is her error? 

Which is a factor of x³-2x²-5x+6

Which is a factor of x³-7x+6

Which is a factor of 3x³+2x²-7x+2

Sana wants to find the factored form of x³+3x²-10x-24. If you were Sana, which of the following will be your answer?

Which of the following is a factor of x⁴ + 3x² -4?

Given P(x) =3x³+2x²-x. What is the value of P(2)?

Chanyeol makes a rectangle whose area is x²-24x-52. Find the possible dimension of the rectangle.

(k-2)is a factor of (k³ -k²-k-2)

(x-1)is a factor of (x³-1)

(x+4)is a factor of (2x³ -4x)

(x+3)is a factor of (3x³+2x-1)

(p-2)is a factor of (p⁴-8p³+10p²+2p+4)