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What is the remainder when p(x) is divided by (x - 1)?

User Choldgraf
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Final answer:

To find the remainder when p(x) is divided by (x - 1), substitute (x - 1) for x in p(x) and simplify the expression.

Step-by-step explanation:

To find the remainder when p(x) is divided by (x - 1), we can use the Remainder Theorem. According to the theorem, if you substitute the value of (x - 1) in the polynomial p(x), the result will give you the remainder.

For example, let's say p(x) = 2x^3 - 5x^2 + 3x - 1. If we substitute (x - 1) for x in this polynomial, we get p(x - 1) = 2(x - 1)^3 - 5(x - 1)^2 + 3(x - 1) - 1. We can simplify this expression and find the remainder.

By following the steps above, you can find the remainder when p(x) is divided by (x - 1).

User Denis Pitcher
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