SOLUTION: Synthetic Division for 1. (x^4-5x^3+8x^2+15x-2)÷(x-3) 2. (x^4+3x^3-4x^2)÷(x+4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Synthetic Division for 1. (x^4-5x^3+8x^2+15x-2)÷(x-3) 2. (x^4+3x^3-4x^2)÷(x+4)      Log On


   

Question 1173507: Synthetic Division for
1. (x^4-5x^3+8x^2+15x-2)÷(x-3)
2. (x^4+3x^3-4x^2)÷(x+4)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

1. (x^4-5x^3+8x^2+15x-2)÷(x-3)

3	1	-5	8	15	-2

		3	-6	6	63

	1	-2	2	21	61

 x^3 - 2x^2 +2x + 21  + 61/(x-3)



2.  (x^4+3x^3-4x^2)÷(x+4)

-4	1	3	-4

		-4	4

	1	-1	0

  x^3 - x^2 

Remainder = 0  

(x + 4) a factor

Wish You the Best in your Studies.