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Perform the operation.

(4x-8)+(7x^(2)+7x+1)
Answer:

Perform the operation. $\newline$ $(4 x-8)+\left(7 x^{2}+7 x+1\right)$ $\newline$ Answer:

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Add and subtract polynomials

Full solution

Q. Perform the operation.

\newline

(4 x-8)+\left(7 x^{2}+7 x+1\right)

\newline

Answer:

Identify Polynomials: Identify the polynomials to be added. $\newline$ We have two polynomials: $(4x-8)$ and $(7x^{2}+7x+1)$ . We need to add these polynomials together.
Align Like Terms: Align the like terms. $\newline$ When adding polynomials, we combine the like terms. The like terms are those that have the same variable raised to the same power. In this case, we have: $\newline$ - The $x$ terms: $4x$ from the first polynomial and $7x$ from the second polynomial. $\newline$ - The constant terms: $-8$ from the first polynomial and $+1$ from the second polynomial. $\newline$ - The $x^2$ term: $7x^2$ from the second polynomial has no like term in the first polynomial.
Add Like Terms: Add the like terms. $\newline$ Now we add the like terms together: $\newline$ - For the $x$ terms: $4x + 7x = 11x$ $\newline$ - For the constant terms: $-8 + 1 = -7$ $\newline$ - For the $x^2$ term: There is only one $x^2$ term, so it remains as is: $7x^2$
Write Final Expression: Write the final expression. $\newline$ The sum of the polynomials is the combination of the terms we have found: $\newline$ $7x^2 + 11x - 7$

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