College

What is the result of adding these two polynomials:

\[ (2x + y + 1) + (2x^6 - y + 1) \]

A. \( 2x + 2x^6 + 2 \)

B. \( 2x + 2x^6 \)

C. \( 2x^6 + 2x + 2 \)

D. \( 4x^6 - 2y + 1 \)

Answer :

Answer

[tex]\begin{equation*} 2x^6+2x+2 \end{equation*}[/tex]

Step-by-step explanation

Given the polynomials:

[tex]\begin{gathered} 2x+y+1 \\ \text{ and} \\ 2x^6-y+1 \end{gathered}[/tex]

To add them we need to add the similar terms (terms with the same variable and degree), as follows:

[tex]\begin{gathered} (2x+y+1)+(2x^6-y+1)= \\ =2x^6+2x+(y-y)+(1+1)= \\ =2x^6+2x+2 \end{gathered}[/tex]

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