Divide the polynomials. Your answer should be a polynomial. (x^(2)-49)/(x+7)=

Factor numerator: We recognize that the numerator x^2 - 49 is a difference of squares, which can be factored into (x + 7)(x - 7). Calculation: x^2 - 49 = (x + 7)(x - 7)Divide by denominator: Now we divide the factored form of the numerator by the denominator (x + 7). Calculation: (x + 7)(x - 7) / (x + 7)Cancel out terms: We can cancel out the (x + 7) term in the numerator with the (x + 7) in the denominator because they are identical and non-zero. Calculation: (x - 7)

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Divide the polynomials.
Your answer should be a polynomial.

(x^(2)-49)/(x+7)=

Divide the polynomials. $\newline$ Your answer should be a polynomial. $\newline$ $\frac{x^{2}-49}{x+7}=$

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Algebra 2

Factor sums and differences of cubes

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Q. Divide the polynomials.

\newline

Your answer should be a polynomial.

\newline

\frac{x^{2}-49}{x+7}=

Factor numerator: We recognize that the numerator $x^2 - 49$ is a difference of squares, which can be factored into $(x + 7)(x - 7)$ . $\newline$ Calculation: $x^2 - 49 = (x + 7)(x - 7)$
Divide by denominator: Now we divide the factored form of the numerator by the denominator $(x + 7)$ . $\newline$ Calculation: $\frac{(x + 7)(x - 7)}{(x + 7)}$
Cancel out terms: We can cancel out the $(x + 7)$ term in the numerator with the $(x + 7)$ in the denominator because they are identical and non-zero. $\newline$ Calculation: $(x - 7)$