Perform the operation. (4x-8)+(7x^(2)+7x+1) Answer:

Identify Polynomials: Identify the polynomials to be added. 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. 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: - The x terms: 4x from the first polynomial and 7x from the second polynomial. - The constant terms: -8 from the first polynomial and +1 from the second polynomial. - 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. Now we add the like terms together: - For the x terms: 4x + 7x = 11x - For the constant terms: -8 + 1 = -7 - For the x^2 term: There is only one x^2 term, so it remains as is: 7x^2Write Final Expression: Write the final expression. The sum of the polynomials is the combination of the terms we have found: 7x^2 + 11x - 7

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Algebra 2

Add and subtract polynomials

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Q. Perform the operation.

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

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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: $\newline$ $7x^2 + 11x - 7$