CjQ170342 CjQ170342

26-10-2022
Mathematics

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The Tabular Method is used to divide the polynomials shown below. Write the degree of the quotient.

The Tabular Method is used to divide the polynomials shown below Write the degree of the quotient class=

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SophieaR691929 SophieaR691929

26-10-2022

Solution:

Given:

[tex]\frac{x^3+2x^2+2x+1}{x+1}[/tex]

Simplify:

[tex]\frac{x^3+2x^2+2x+1}{x+1}=\frac{(x+1)(x^2+x+1)}{x+1}[/tex]

Cancel the common factor:

[tex]\frac{x^3+2x^2+2x+1}{x+1}=x^2+x+1[/tex]

ANSWER: Thus, the degree of the quotient is two.

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