Use synthetic division to divide equation, Algebra

Use synthetic division to divide 5x3 - x2 + 6 by x - 4 .

Solution

Okay along with synthetic division we pretty much avoid all the x's and just work with the numbers in the polynomials.

Primary, let's notice that in this case r=4.

Now we have to set up the procedure. There are various different notations for doing this. We'll be utilizing the following notation.

2199_Use synthetic division to divide equation.png

In the polynomial the numbers to right of the vertical bar are the coefficients of the terms written in order of diminishing exponent. Also consider that any missing terms are acknowledged along a coefficient of zero.

Now, it will possibly be easier to write down the procedure and then described it so here it is.

1438_Use synthetic division to divide equation1.png

First thing we do is fall the first number in the top line straight down as illustrated.  Then along each of the diagonal we multiply the starting number by r (that is 4 in this case) and put this number in the second row.  At last, add the numbers within the first & second row putting the results into the third row.  We continue this till we get attained the final number in the first row.

Now, notice that the numbers in the bottom row are the coefficients of the quadratic polynomial from our answer written in order of decreasing exponent and the final number in the third row is the remainder.

Then the answer is the same as example.

5x3 - x2 + 6 = (x - 4) (5x2  + 19 x + 76 = 310

Posted Date: 4/8/2013 2:16:55 AM | Location : United States







Related Discussions:- Use synthetic division to divide equation, Assignment Help, Ask Question on Use synthetic division to divide equation, Get Answer, Expert's Help, Use synthetic division to divide equation Discussions

Write discussion on Use synthetic division to divide equation
Your posts are moderated
Related Questions
Example 2 Solve out following systems of equations. 3x + y - 2z = 2 x - 2 y + z = 3 2x - y - 3z = 3 Solution Firstly write down the augmented matrix for this syst

Shirley has 8 fewer pairs of earrings than bracelets. She has 15 bracelets. How many pairs of earrings does she have?

a 9f2 square painting is mounted with border on a square frame. if the total area of the border is 3.25 ft2, what is the length of a side of the frame?

Five star coffee charges a 40 dollar start up fee and then 8 dollars per month. Custom coffee company charges a 25 dollar start up fee and 12.50 dollars per month. In which time fr


what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3

Example    Evaluate log 5 7 . Solution At first, notice that we can't employ the similar method to do this evaluation which we did in the first set of instance. It would n

how would i solve one of these functions. like how would i find the domain and range? and may i get an example.

Use (fog)(4), (gof)(4), (fog)(x), and (gof)(x) 1.) f(x)=x^2+1 and g(x)=x+5