source : socratic.org

## What is the remainder when (3x^3 – 2x^2 + 4x – 3) is divided by (x^2 + 3x + 3)?

#3x^3-2x^2+4x-3#

#=3x^3+9x^2+9x-11x^2-33x-33+28x+30#

#=3x(x^2+3x+3)-11(x^2+3x+3)+28x+30#

#=(x^2+3x+3)(3x-11)+28x+30#

Hence

#(3x^3-2x^2+4x-3)/(x^2+3x+3)#

#=((x^2+3x+3)(3x-11)+28x+30)/(x^2+3x+3)#

#=(3x-11)+(28x+30)/(x^2+3x+3)#

So the remainder of division is

#color(red)(28x+30)#

The Remainder Theorem – That is, when you divide by "x – a", your remainder will just be some number. If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.What is the remainder when (x4 + 36) is divided by (x2 – 8)? The volume of the new rectangular prism is 450 cubic inches. The equation mc025-1.jpg can be used to find x. What was the side length of the original cube?Chapter: Chr.1 chr.2 chr.3 chr.4 chr.5 chr.6 chr.7 chr.8 chr.ct chr.e CH1.1 CH1.2 CH1.3 CH1.4 CH1.5 CH1.6 CH1.7 CH1.ct CH1.r CH2.1 CH2.2 CH2.3 CH2.4 CH2.5.

alegbra 2 Flashcards | Quizlet – When it is divided by x – 2, the remainder is -4. What are the values of m and n.p(x) = x³ – 2x² – 4x – 3. what is the formarla of red marble. Arrange the following fraction on ascending order 3/4and5/6and7/9and11/16.So, the remainder will be Ok this is important I'm realizing no one has the answer because most of the askers don't menti … on this In the answer box (it's a drag and drop) it has a blank then x 2 (as in Times 2 not a variable).

Solved: What is the quotient and remainder when… | Chegg.com – Learn all Concepts of Polynomials Class 9 (with VIDEOS). Check – Polynomials Class 9…What is the remainder when x^4-3x^3+2x^2+1 is divided by 2x-1? Soln: We have various methods to solve this problem like common division, remainder theorem, factor theorem, synthetic division.Click hereto get an answer to your question Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x .