When x^3+kx^2-4x+2 is divided by x+2 the remainder is 26 find k?

Mathematics

1 answer:

Llana [10]3 years ago

4 0

Answer:

k = 6

Step-by-step explanation:

Using synthetic division, we find the remainder from the division to be ...

remainder = 4k+2

Then we need to find k such that ...

4k +2 = 26

4k = 24 . . . . subtract 2

k = 6 . . . . . . divide by 4

The value of k is 6.

You might be interested in

Write a recursive definition for the sequence 14, 10, 6, 2...

VladimirAG [237]

The general form of recursive definition for arithmetic sequence:
$a_{n}=a_{1}+d(n-1)$

So, what we need to do is to find $a_{1}$ and $d$ .
$a_{1}=14$
$d=a_{2}-a_{1}=10-14=-4$
Having found these two values we can now define our recursive sequence:
$a_{n}=14-4(n-1)$
$a_{n}=14-4n+4$
$a_{n}=18-4n$

7 0

3 years ago

Read 2 more answers

What is the value of 3 + y ÷ 4, when y = 16?

tankabanditka [31]

Well lets do this

3 + 16 ÷ 4

we divide first

3 + 4

Addition

=7

6 0

4 years ago

A car has a windshield wiper on the driver's side that has total arm length of 10 inches. It rotates

son4ous [18]

Answer:

75.44 Square Inches