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Answer :
The quotient is x + 6
Remainder is 11
The divisor is x - 1
The dividend is x² + 5x + 5
Quotient: The result obtained when one number (dividend) is divided by another (divisor), representing how many times it fits.
Divisor: The number by which the dividend is divided in a division problem, determining the size of each group.
Dividend: The number being divided by the divisor, representing the total amount to be split into groups.
Remainder: The leftover amount when a dividend cannot be evenly divided by the divisor in a division problem.
x + 6
-----------------
x - 1 | x² + 5x + 5
-(x² - x)
----------
6x + 5
-(6x - 6)
------------
11
Complete question
Fill in the blanks to correctly complete the sentence.
To perform the division x - 1 | x^2 + 5x + 5, begin by writing the synthetic division problem shown below:
x -1 |x^2 + & 5x + 5
1 & & & & &
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