College

Fill in the blanks to correctly complete the sentence.

To perform the division [tex] x - 1 \div x^2 + 5x + 5 [/tex], begin by writing the synthetic division problem shown below:

[tex]
\[
\begin{array}{c|ccccc}
& x^2 & + & 5x & + & 5 \\
\hline
1 & & & & & \\
\end{array}
\]
[/tex]

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 & & & & &