SOLUTION: Using synthetic division, what is the quotient of f(x)=x^4-x^2+3x; g(x)=x+1
Algebra.Com
Question 820943: Using synthetic division, what is the quotient of f(x)=x^4-x^2+3x; g(x)=x+1
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You need to practice in comparison to thoroughly worked examples.
The root which is for g(x) is x=-1. You indicate this in the divisor location for the synthetic division form.
;
The coefficients are shown on the right side of the division form.
___________|
_______-1__|_____1_____0_____-1_______3________0
___________|
___________|______________________________________
___________|
_______-1__|_____1_____0_____-1_______3________0
___________|
___________|______________________________________
________________1
Bring down the 1 from the dividend; (-1)*1=-1; put this under the next term for the dividend and ADD;
___________|
_______-1__|_____1_____0_____-1_______3________0
___________|
___________|___________-1__________________________
________________1______-1
Do (-1)(-1)=1, put this under the next term of the dividend and ADD:
___________|
_______-1__|_____1_____0_____-1_______3________0
___________|
___________|___________-1____1______________________
________________1______-1_____0
and continuing,
___________|
_______-1__|_____1_____0_____-1_______3________0
___________|
___________|___________-1____1_______0________-3_____
________________1______-1_____0______3________-3
The bottom row of the form is the result of synthetic division, which is interpreted as
RELATED QUESTIONS
What is the quotient of f(x)=2x^3+8x^2-5x+5; G(x)=x-2 using synthetic... (answered by josgarithmetic)
Using synthetic division can someone help me determine the quotient to these problems?
(answered by Edwin McCravy)
Find the quotient and remainder using synthetic or long division
(5x^4+3x^3-12) /... (answered by josgarithmetic,MathTherapy)
“Synthetic Divison”
Use synthetic division to find the quotient and remainder of the... (answered by MathLover1,josgarithmetic)
Using synthetic division, find the quotient of the following:
1. 3x^4-2x^3-x^2+4x+4 ÷ (answered by Edwin McCravy)
Use synthetic division to find the quotient and remainder.
4x^6 - 3x^4 + x^2 + 5... (answered by josgarithmetic,timofer)
Use synthetic division to find the quotient and the remainder of... (answered by cigany29)
Find the quotient and remainder using synthetic division for
\frac{x^5- x^4+ 7 x^3 - 7... (answered by ewatrrr)
Use synthetic division to find the quotient and the remainder.... (answered by stanbon,MathLover1)