Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?
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we have to solve (x⁴ - 1) ÷ (x - 1) using synthetic division method. synthetic division method is nothing just use dividing rule in polynomial.
x - 1) x⁴ - 1 ( x³ + x² + x + 1
x⁴ - x³
--------------
x³ - 1
x³ - x²
----------
x² - 1
x² - x
-------------
x - 1
x - 1
-----------
0
hence, quotient = x³ + x² + x + 1
x - 1) x⁴ - 1 ( x³ + x² + x + 1
x⁴ - x³
--------------
x³ - 1
x³ - x²
----------
x² - 1
x² - x
-------------
x - 1
x - 1
-----------
0
hence, quotient = x³ + x² + x + 1
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