Divide using polynomial long division. (2x3 – 16x² + 37x – 26) = (x - 5)

Mathematics

1 answer:

worty [1.4K]2 years ago

3 0

the solution to the given synthetic division will be expressed as $(2x^2 - 6x + 7) + \frac{9}{x-5}$

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26) by (x - 5)

2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

2x³ - 10x²

__________

-6x² +37x

-6x² +30x

_______________

7x - 26

7x - 35
______________

9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

$P(x) = Q(x) + \frac{R(x)}{D(x)} \\(2x^3 -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}$

Learn more on synthetic division here: brainly.com/question/24662212

You might be interested in

6700 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 28 years, to t

Vesna [10]

At the end of 28 years, there will be 22,083.2 dollars in the account.

Step-by-step explanation:

Step 1; First we must calculate how much interest there is in total over 28 years. The annual interest rate is 8.25% i.e. 8.25% of 6,700 dollars which equals 552.75 dollars. As the years' pass, more and more will be put into the account due to interest. After 28 years, there will be an interest of 229.6% (8.25% per year * 28 years)of the initial amount.

Step 2; We must find the money due to interest and add it with the money that was put in initially. The interest amount is 2.296 times the 6,700 dollars which was put in. The interest equals 15,383.2 dollars. With this, the initial 6,700 dollars is added which comes to a total of 22,083.2 dollars

3 0

4 years ago

Read 2 more answers

Emma took 35 pictures of flowers on a nature walk and an additional 3 pictures of each bird she saw. She took a total of 83 pict

AnnZ [28]

I think the last one, but not positive

6 0

4 years ago

Read 2 more answers

I need help is it A B C or D

ASHA 777 [7]

The answer is y= 1
—
17