Question

Use the long division method for the polynomial p(x)= 3x⁴ – 4x³ – 3x – 1 and g(x)= x – 2​

Answer 1

Answer:

x−1

3x

4

−4x

3

−3x−1

=−5

Step-by-step explanation:

Let p(x) = 3x⁴-4x³-3x-1 and g(x) = x-1,

x-1) 3x⁴-4x³+0-3x-1(3x³-x²-x-4

**** 3x⁴ -3x³

___________________

********* -x³ + 0 -3x

********* -x³ + x²

___________________

************** -x² - 3x - 1

************** -x² + x

___________________

****************** - 4x - 1

****************** -4x + 4

____________________

***** Remainder (-5)

Dividend = 3x⁴-4x³-3x-1,

Divisor = x-1,

Quotient = 3x³-x²-x-4,

Remainder = -5

Therefore,

\frac{3x^{4}-4x^{3}-3x-1 }{x-1}= -5

x−1

3x

4

−4x

3

−3x−1

=−5