SOLUTION: {{{x^3+x^2-10x-6}}}/x-3 Can you please help me solve this? Thank you.

Question 276721: /x-3
Can you please help me solve this? Thank you.
Found 2 solutions by jim_thompson5910, scott8148:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to simplify this, we can use polynomial long division.

So the quotient is and the remainder is 0. This means that or more simply

Note: consequently, this means that (just multiply both sides by )
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
it is like "long division" from grade school

x goes into x^3, x^2 times

x^2 times (x - 3) is (x^3 - 3x^2)

(x^3 + x^2) minus (x^3 -3x^2) is 4x^2 ___ bring down -10x

x goes into 4x^2, 4x times

4x times (x - 3) is (4x^2 - 12x)

(4x^2 - 10x) minus (4x^2 - 12x) is 2x ___ bring down -6

x goes into 2x, 2 times

2 times (x - 3) is (2x - 6)

(2x - 6) minus (2x - 6) is zero ___ no remainder

/x-3 = x^2 + 4x + 2
RELATED QUESTIONS
Please help me solve this problem: DIVIDE x^3-6 by x-2 Thank... (answered by josgarithmetic,math_tutor2020,ikleyn)
HELLO! Can you please help me solve this problem? (8/x)-(3/x)=(6/x-1) Thank... (answered by drk)
Please help me solve this equation : x-3/x+2=x+2/x-3 Thank you... (answered by satyareddy22)
Can you please help me out on this: Sqrt (x^2 + 10x -3) =... (answered by josgarithmetic)
Can you help me simplify (not "solve") x - 3 divided by x^3 + x^2 - 10x -... (answered by rfer,Edwin McCravy)
Please help with this: Solve for x: (x+4)^2-3=6 Can you please show me how you got... (answered by jim_thompson5910)
can you please help me solve this equation -2-3(1-x)=4(-2x+7) solve for X thank you (answered by MathTherapy)
Solve (x + 5)^2 = 3 Can anyone help me on this please? Thank you so... (answered by hailu)
Can someone please help me solve this problem: Y(2)=x-3 Thank... (answered by Alan3354)