This work shows $$x^2-3x+5\div x-2$$  . What information does this reveal? #2

Complete the problem shown here.

Use the remainder to determine whether 5 is a solution of $$p\left(x\right)=2x^3-12x^2+11x-5$$  .#8

The work here shows that dividing $$x^2+16$$  by x+4 results in a remainder of 32. Which statement is true based on the work shown here? #10

Complete the synthetic division and use the remainder to determine a true statement concerning p(x) and its solutions. #11

Assume that a polynomial has a solution at the x-value 4.

Which of the following must be a factor of that same polynomial? #15

What is the remainder when  a³ - 4 is divided by a+2? #19

Finish dividing $$p\left(x\right)=5x^3+34x^2+26x+C$$   by x+6. Determine what value C must equal if x+6 is a factor of p(x). #17

Which binomial is a factor of f(x)= x³ -6x² +3x +10? #18

Which binomial is a factor of  f(x)= x³ + x² -24x +36? #20

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)? #21

What is the proper way to write the answer for the following problem? #26

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake? #28

It's time to write the answer. What goes in the yellow area? #30

What is the next step in the synthetic division? #32

$$\left(4x^4-8x^3-3x^2+7x-2\right)\div\left(2x-1\right)$$  

Use long division to evaluate. #36

Solve using long division. $$\left(8x^2+6x-20\right)\div\left(4x-5\right)$$  . #38

Is this division problem worked correctly? #39