The remainder when f(x) = x⁴ - 5x³ + 3x² - 2x +7 is divided by x - 1 is 4.
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a).
Given that f(x) = x⁴ - 5x³ + 3x² - 2x +7 is divided by x - 1
x - 1 = 0
x = 1
f(1) = 1⁴ - 5(1)³ + 3(1)² - 2(1) + 7 = 4
The remainder when f(x) = x⁴ - 5x³ + 3x² - 2x +7 is divided by x - 1 is 4.
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