213k views
0 votes
I am trying to solve this equation using Synthetic Division. I got the answer wrong, I would like to see where I made a mistake.

I am trying to solve this equation using Synthetic Division. I got the answer wrong-example-1
User Ctor
by
7.7k points

1 Answer

6 votes
Answer:

The result for the division is:


2x^2+43x+865+(17309)/(x-20)

Step-by-step explanation:

Step 1: Write the coefficients of the numerator on the right-hand side, and the opposite of the constant term in the denominator on the left-hand side.

20..............2 || 3 || 5 || 9

..................2

Step 2: Multiply 20 by 2 and add the result to 3

20..............2.......................|| 3 || 5 || 9

..................2*20 = 40

....................2 || 3 + 40 = 43

Step 3: Multiply 43 by 20, and add the result to 5

20..............2 || 3 .........................|| 5 || 9

...................... 40.......20*43 = 860

....................2||43 .......5+860=865

Step 4: Multiply 865 by 20, and add the result to 9

20..............2 || 3 || 5 ..........................|| 9

...................... 40 ||860......20*865=17300

....................2||43||865...9 + 17300=17309

The coefficients are 2, 43, 865, 17309

The quotient is:


2x^2+43x+865

and the remainder is 17309

So, we can write:


2x^2+43x+865+(17309)/(x-20)

User Hezye
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories