
Concept explainers
True or False We can divide −4x3 + 5x2 + 10x − 3 by x2 − 2 using synthetic division.

Whether the statement “We can divide
Answer to Problem 1E
The statement is false.
Explanation of Solution
Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form
Note that, synthetic division can be used only when the divisor is linear and is of the form
The divisor
Therefore, the given statement is false.
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