SOLUTION: This test is very difficult and any help would be so very much appriciated, please reply asap. The problem is: Use synthetic substitution to find F(4) given {{{F(x)=2x^3-5x^2-18

Question 122887: This test is very difficult and any help would be so very much appriciated, please reply asap. The problem is:
Use synthetic substitution to find F(4) given
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to find , we can use synthetic division.

Set up the synthetic division table by placing the value we want to evaluate (in this case 4) in the upper left corner and placing the coefficients of the polynomial to the right of the test zero.

4	\|	2	-5	-18	19
	\|

Start by bringing down the leading coefficient (it is the coefficient with the highest exponent which is 2)

4	\|	2	-5	-18	19
	\|
		2

Multiply 4 by 2 and place the product (which is 8) right underneath the second coefficient (which is -5)

4	\|	2	-5	-18	19
	\|		8
		2

Add 8 and -5 to get 3. Place the sum right underneath 8.

4	\|	2	-5	-18	19
	\|		8
		2	3

Multiply 4 by 3 and place the product (which is 12) right underneath the third coefficient (which is -18)

4	\|	2	-5	-18	19
	\|		8	12
		2	3

Add 12 and -18 to get -6. Place the sum right underneath 12.

4	\|	2	-5	-18	19
	\|		8	12
		2	3	-6

Multiply 4 by -6 and place the product (which is -24) right underneath the fourth coefficient (which is 19)

4	\|	2	-5	-18	19
	\|		8	12	-24
		2	3	-6

Add -24 and 19 to get -5. Place the sum right underneath -24.

4	\|	2	-5	-18	19
	\|		8	12	-24
		2	3	-6	-5

Since the last column adds to -5, we have a remainder of -5. This means is not a factor of

Since the remainder is -5, this means

--------------------

Answer:

So
RELATED QUESTIONS
This test is very difficult and any help would be so very much appriciated, please reply... (answered by jim_thompson5910)

This test is very difficult and any help would be so very much appriciated, please reply... (answered by oscargut)

hello, were solving linear equations by graphing, and i am having a little troble with (answered by Cintchr)

My son is having a difficult time with this slope problem, and I just don't remember... (answered by LolaFish)

Ok this is a parabola question. What are the zeros for the equation y=-2x^2+5x+3... (answered by nerdybill)

graph the inequality: y<-x-4 this is very difficult please... (answered by rapaljer)

Please help me solve this problem: "Michael is 1/4 as old as his father. Next year, their (answered by 428225)

I cannot figure out how to work this problem: Find the value of k so that the slope of (answered by longjonsilver)

I need $1000 dollars for my holidays in 12 months time. I have an instrument yielding... (answered by josmiceli)