What is the result when 3x3 + 4x2 + 6 is divided by x + 1? if there is a remainder,
express the result in the form q(x) + ][2).

The result in form of q(x) + r(x)/b(x) is

Solution:

Need to divide

The image for the division is attached below

Step 1: here x + 1 is dividend and is divisor

Step 2: Divide the first term of numerator by first term of denominator and place it in quotient

Step 3: Multiply the denominator by that answer and put that below the numerator

Step 4: Subtract to obtain a new polynomial

Step 5: Repeat using the new polynomial until no variable “x’ is left in remainder

On dividing we get quotient q(x) remainder r = 7 and dividend b(x) = x+1

Expressing it in we get,

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

your question is incomplete, write all the numbers in the sequence that it tells you.  

step-by-step explanation: