Divide the polynomials. Your answer should be a polynomial. (x^(2)+6x+9)/(x+3)=

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Divide the polynomials. Your answer should be a polynomial.  (x^(2)+6x+9)/(x+3)=

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Recognize division methods: Recognize that the division of polynomials can be performed using polynomial long division or synthetic division. Since the divisor is a binomial of the form (x + a), we can use polynomial long division.Set up long division: Set up the long division by writing the dividend (x^2 + 6x + 9) under the long division symbol and the divisor (x + 3) outside.Divide first terms: 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. This gives us x^2 / x = x.Multiply divisor and quotient: Multiply the divisor (x + 3) by the first term of the quotient (x) to get x(x + 3) = x^2 + 3x.Subtract to find remainder: Subtract the result of the multiplication from the dividend to find the remainder. We have (x^2 + 6x + 9) - (x^2 + 3x) = 3x + 9.Bring down next term: Bring down the next term of the dividend if necessary. In this case, we already have the complete remainder (3x + 9) to work with.Divide new remainder: Divide the first term of the new remainder (3x) by the first term of the divisor (x) to get the next term of the quotient. This gives us 3x / x = 3.Multiply divisor and new quotient: Multiply the divisor (x + 3) by the new term of the quotient (3) to get 3(x + 3) = 3x + 9.Subtract to find new remainder: Subtract the result of the multiplication from the new remainder to find the new remainder. We have (3x + 9) - (3x + 9) = 0.Determine exact division: Since the remainder is 0, the division is exact, and we have found the quotient. The quotient is the result of the division, which is x + 3.

Divide the polynomials. $\newline$ Your answer should be a polynomial. $\newline$ $\frac{x^{2}+6 x+9}{x+3}=$

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Divide the polynomials.\newlineYour answer should be a polynomial.\newlinex2+6x+9x+3= \frac{x^{2}+6 x+9}{x+3}= x+3x2+6x+9​=

Divide the polynomials. $\newline$ Your answer should be a polynomial. $\newline$ $\frac{x^{2}+6 x+9}{x+3}=$