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,

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step-by-step explanation: