
Concept explainers
If we divide the polynomial P by the factor x − c and we obtain the equation P(x) = (x − c)Q(x) + R(x), then we say that x − c is the divisor, Q(x) is the __________, and R(x) is the __________.

To fill: The blank in the statement “If we divide the polynomial P by the factor
Answer to Problem 1E
The complete statement is “If we divide the polynomial P by the factor
Explanation of Solution
Method used:
If
That is,
Calculation:
In division, there are four basic terms: dividend, divisor quotient and remainder.
The number which is divided is called the dividend, the number left after the division is called the remainder, the result from the division is called the quotient and the number which divides the dividend is called the divisor.
The given equation is
Compare this equation with
Here,
Thus, the complete statement is “If we divide the polynomial P by the factor
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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