Divide the polynomials. Your answer should be a polynomial. (x^(2)+10 x+25)/(x+5)=

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Divide the polynomials. Your answer should be a polynomial.  (x^(2)+10 x+25)/(x+5)=

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Approach for Division: Recognize that the division of polynomials can be approached using polynomial long division or synthetic division. Since the divisor is a binomial of the form $x + a$, we can use either method. We will use polynomial long division.Setting up the Long Division: Set up the long division by writing $x^2 + 10x + 25$ under the long division symbol and $x + 5$ outside.Finding the First Term of the Quotient: Divide the first term of the dividend, $x^2$, by the first term of the divisor, $x$, to get the first term of the quotient, which is $x$. Calculation: $x^2 \div x = x$Multiplying and Subtracting: Multiply the divisor $x + 5$ by the first term of the quotient $x$ to subtract from the dividend. Calculation: $x \cdot (x + 5) = x^2 + 5x$Continuing the Division: Subtract the result of the multiplication from the dividend. Calculation: $(x^2 + 10x + 25) - (x^2 + 5x) = 5x + 25$Finding the Next Term of the Quotient: Bring down the next term of the dividend, if any, to continue the division. Since there are no more terms to bring down, we continue with $5x + 25$.Multiplying and Subtracting Again: Divide the term $5x$ by the first term of the divisor $x$ to find the next term of the quotient. Calculation: $5x \div x = 5$Completing the Division: Multiply the divisor $x + 5$ by the new term of the quotient $5$ to subtract from the current dividend. Calculation: $5 \cdot (x + 5) = 5x + 25$Subtract the result of the multiplication from the current dividend. Calculation: $(5x + 25) - (5x + 25) = 0$Since the remainder is 0, the division is complete, and the quotient is the final answer.

Divide the polynomials. $\newline$ Your answer should be a polynomial. $\newline$ $\frac{x^{2}+10 x+25}{x+5}=$

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Divide the polynomials.\newlineYour answer should be a polynomial.\newlinex2+10x+25x+5= \frac{x^{2}+10 x+25}{x+5}= x+5x2+10x+25​=

Divide the polynomials. $\newline$ Your answer should be a polynomial. $\newline$ $\frac{x^{2}+10 x+25}{x+5}=$