Error Analysis Describe and correct the error made in factoring completely.
To describe and correct: The error made in factoring a polynomial.
Answer to Problem 38P
The error in factoring the polynomial is “one factor is not simplified completely, and the completely factored polynomial is
Explanation of Solution
Given information:
The given factored polynomial is
Concept used:
The multiplication of factors gives the original polynomial.
Calculations:
The given factored polynomial is
The multiplication of factors on Right Hand Side of gives
Thus, the multiplication of factors trace the original polynomial. Therefore, check whether each factor is simplified completely or not.
It is observed that the factor
Hence, the completely factored polynomial is
Conclusion:
The error in factoring the polynomial is “one factor is not simplified completely, and the completely factored polynomial is
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