SOLUTION: What is the remainder of- x^3+5x^2-6x+10(divided by) x+3

Question 8522: What is the remainder of-
x^3+5x^2-6x+10(divided by) x+3
Answer by glabow(165) (Show Source): You can put this solution on YOUR website!
This is a little hard to describe. You need to look up synthetic division to most easily solve this problem.
Basically, it is this: you divide x+3 into the polynomial.
x+3 divides (x^3+5x^2-6x+10) x^2 times. x^2 times x+3 is x^3+3x^2. You subtract this from the polynomial and you have 2x^2-6x+10 remaining.
x+3 divides into (2x^2-6x+10) 2x times. 2x times x+3 is 2x^2+6x. You subtract this from the polynomial you had left and you get -12x+10 remaining.
x+3 divides into (-12x+10) -12 times. -12 times x+3 is -12x-36. You subtract this from the polynomial you had left and you get 46 remaining.
You cannot divide x+3 into 46, so the remainder is 46/(x+3).
RELATED QUESTIONS
Find the quotient and the remainder when 3x^4 - 5x^3 + 7x^2 -6x - 8 is divided by (x +... (answered by stanbon)

Use synthetic division to find the quotient and remainder if the first polynomial is... (answered by lwsshak3)

Determine the remainder when f(x)=x^3-5x^2+6 is divided by... (answered by ikleyn)

Find the quotient and remainder when x^2-5x+9 is divided by... (answered by vleith)

If the remainder when x^3-ax^2-5x+4 is divided by (x-3) is 97 what is the value of a (answered by ikleyn)

The expression x^4 + ax^3 + 5x^2 + bx + 6 when divide by (x-2), the remainder is 16 and... (answered by solver91311)

The remainder, when 5x^3-6x^2=4x-5 is divided by x+1, is Select one: a. 2 b. 20 c.... (answered by josgarithmetic,ikleyn)

when the polynomials is divided by x^3-2x^2-15x the remainder is 2x^2+5x-3. what is the... (answered by Fombitz)

What is the remainder when 6x^4-3x^5+2x^3+x-3 is divided by x+1? Thank... (answered by ReadingBoosters)