SOLUTION: Use synthetic division to divide 5x^3-x^2-3x+1 by x+4
Algebra.Com
Question 469097: Use synthetic division to divide 5x^3-x^2-3x+1 by x+4
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
see the picture below:
Synthetic Division can only be used if the divisor is linear, i.e. (x - 5), x + 6), etc.
You order the dividend from highest exponent to lowest exponent and you just enter the coefficients.
You fill in the blanks, i.e. if it goes from 5x^2 to 7 without an intervening x, then you fill in the blanks to make it 5x^2 + 0x + 7 instead of 5x^2 + 7.
This problem didn't need any blanks to be filled in, so we just wrote down the exponents as is.
you then take your divisor and solve for x to get:
x+4 = 0
x = -4
What you see is the result.
The divisor is on the left and the coefficients of the dividend are on the right.
first bring down the 5.
then multiply 5 by -4 and put the result under the -1.
then add -1 and -20 to get -21.
then multiply -4 by -21 to get +84.
put the +84 under the -3,
add +84 and -3 to get +81
multiply +81 by -4 to get -324
put the -324 under the +1
add +1 and -324 to get -324.
that's your remainder.
The long division is shown underneath.
Both get the same answer, as they should.
Here's a reference.
Check it out.
It's much more complete than I just showed you.
synthetic division
RELATED QUESTIONS
use synthetic division to divide x^4+4x^3+6x^2+4x+1 by... (answered by CharlesG2)
use synthetic division to divide x^4+4x^3+6x^2+4x+1 by... (answered by stanbon)
1. Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
2. Let f(x) = (answered by josgarithmetic)
Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3 (answered by josgarithmetic,MathLover1)
Use synthetic division to divide 5x^3-x^2-3x+1 by x+4
a. 5x^2-21x+81
b. 5x^2-x-3
c.... (answered by jim_thompson5910)
For f(x)=3x^4+7x^3-x^2+5x-4, use synthetic division to determine... (answered by stanbon)
Divide using synthetic division... (answered by solver91311)
Divide
A. Use long division to divide x³+6x²-x-30 by x²+8x+15
B. Use synthetic... (answered by Nate,junior403)
Use synthetic division to divide the first polynomial by the second.
5x3 − 6x2 +... (answered by josgarithmetic)