Question

Find the quotient and the remainder obtained on
dividing p(x) = 3x^4 - 4x^3 - 3x - 1 by x - 1​

Answer 1

Given:-

p(x) = 3x^4 - 4x^3 - 3x - 1

by x - 1

To find:-

quotient and remainder

Solution:-

Let us write the dividend polynomial in the coefficient form.

Index form of dividend polynomial is

p(x) = 3x⁴ - 4x³ - 3x - 1

=> 3x⁴ - 4x³ + 0x² - 3x - 1

Coefficients form of the given polynomial = (3, -4 , 0, -3, -1)

• Synthetic division:-

1 | 3 -4 0 -3 -1

| 3 -1 -1 -4

|

| 3 -1 -1 -4 -5

•°• Remainder = -5

And :- Quotient = 3x³ - x² - x - 4

The quotient and the remainder obtained on

quotient and the remainder obtained on dividing p(x) = 3x^4 - 4x^3 - 3x - 1 by x - 1 is 3x³ - x² - x - 4 and -5.

Answer 2

Answer:. Quotient= 3x^3 - x^2-x-4

Remainder= -5

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