Practice: Applying the Remainder theorem

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0
• 2x-10
• -2x-10
• 2x+10

If 𝒙²+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?

• 0
• -3
• 9
• 5

If (x-2) is not a factor of (2x³-5x-7), what is the remainder?

• -13

• 4

• 13

• -1

If (x²+3x+7) is divided by (x+2), then what is the remainder?

• 0

• -3

• 9

• 5

Find the remainder if you divide

(3x³ + 5x - 1) by (x + 1).

• 9

• -9

• 7

• -7

 $f\left(x\right)=x^4-3x^3-12x^2+15x-34$  at x=5

• -9

• 8

• -1

• 6

 $f\left(x\right)=4x^3+3x^2-8x+13$  at x=-2

• 5
  

• 10

• 0

• 9

Using synthetic substitution, what is the value of f(-5) for the function f(x) = x³ + 2x² - 3x + 1?

• -59

• 11

• 71

• -6

Using synthetic substitution, what is the value of f(2) for the function f(x) = x² - 8x + 6?

• 71

• -6

• 62

• 0

For the function f(x) = 3x⁴ + x³ - 2x² + x + 12, what is f(-5)? Use synthetic substitution.

• 1707

• 62

• -435

• -15