Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer
in descending powers of x.
(x 3 - 4x 2 + 4x - 1) ÷ (x -1)
(x 3 - 4x 2 + 4x - 1) ÷ (x -1)
2 answers:
Answer:
The given division is
To divide this using synthetic division we first need to right it down in a division-like format. We do that, by just using coefficients of the dividend, in this case, 1, -4, 4 and -1.
Then, we right down the first coefficient as it's shown in the first image. As second step, we must multiply the entry in the left part of the division format by each entry under the horizontal line, this results we write it down under the next coefficient and do the sum, this process repeats over and over until we get zero as a result of the synthetic division.
The second image shows the complete process, which give the result.
Therefore, the division is
Answer:
The quotient is
Step-by-step explanation:
The given polynomial division is
To perform the synthetic division we write out the coefficients and arrange them as shown.
1 -4 4 -1
<u>1 | 1 -3 1</u>
1 -3 1 0
The quotient is
The descending powers of x means from highest degree to the least
The remainder is 0
You might be interested in
Complete the table for the function y = 0.1^x
The first step: plug values from the left column into the ‘x’ spot in the formula <u>y=0.1^x</u>.
* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).
* 0.1^-1 = 1/0.1 = 10
* 0.1^0 = 1 : (Remember this rule: a^0 = 1)
* 0.1^1 = 0.1
Our list of values: 100, 10, 1, 0.1
Now, we can plug these values into your table:
The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]
I hope this helped!
