Divide the polynomials. Your answer should be in the form p(x)+(k)/(x+2) where p is a polynomial and k is an integer. (x^(2)+7x+12)/(x+2)=

Question

Divide the polynomials. Your answer should be in the form  p(x)+(k)/(x+2) where  p is a polynomial and  k is an integer.  (x^(2)+7x+12)/(x+2)=

Bytelearn · Accepted Answer

Set up division: Set up the division of the polynomials. We will use polynomial long division to divide x^2 + 7x + 12 by x + 2.Divide first term: Divide the first term of the numerator by the first term of the denominator. Divide x^2 by x to get x. This will be the first term of the polynomial part of the answer.Multiply divisor: Multiply the divisor by the term found in Step 2. Multiply x by x + 2 to get x^2 + 2x.Subtract result: Subtract the result of Step 3 from the original numerator. Subtract (x^2 + 2x) from (x^2 + 7x + 12) to get 5x + 12.Divide new term: Divide the new first term of the remainder by the first term of the divisor. Divide 5x by x to get 5. This will be the next term of the polynomial part of the answer.Multiply divisor: Multiply the divisor by the term found in Step 5. Multiply 5 by x + 2 to get 5x + 10.Subtract result: Subtract the result of Step 6 from the remainder found in Step 4. Subtract (5x + 10) from (5x + 12) to get 2.Write final answer: Write the final answer. The polynomial part of the answer is x + 5, and the remainder is 2. The remainder is written as a fraction over the original divisor. The final answer is p(x) + k/(x + 2), where p(x) = x + 5 and k = 2.

Divide the polynomials. $\newline$ Your answer should be in the form $p(x)+\frac{k}{x+2}$ where $p$ is a polynomial and $k$ is an integer. $\newline$ $\frac{x^{2}+7 x+12}{x+2}=$

Full solution

More problems from Powers with decimal and fractional bases

Related topics

Divide the polynomials.\newlineYour answer should be in the form p(x)+kx+2 p(x)+\frac{k}{x+2} p(x)+x+2k​ where p p p is a polynomial and k k k is an integer.\newlinex2+7x+12x+2= \frac{x^{2}+7 x+12}{x+2}= x+2x2+7x+12​=

Divide the polynomials. $\newline$ Your answer should be in the form $p(x)+\frac{k}{x+2}$ where $p$ is a polynomial and $k$ is an integer. $\newline$ $\frac{x^{2}+7 x+12}{x+2}=$