The quotient of of x³ + 1 divided by x² - x + 1 is x + 1
Given,
The polynomial function; x³ + 1 and x² - x + 1
We have to find the quotient of x³ + 1 divided by x² - x + 1
Polynomial function;-
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Here,
Divide x³ + 1 by x² - x + 1
x² - x + 1 ) x³ + 1 (x + 1 ⇒ Quotient
x³ - x² + x
0 + 1 + x² - x
0 + 1 + x² - x
0 ⇒ Remainder
That is,
The quotient of of x³ + 1 divided by x² - x + 1 is x + 1
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