Question

Divide the polynomials. Your answer should be in the form p ( x ) + k x + 3 p(x)+ x+3 k ​ p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, plus, 3, end fraction where p pp is a polynomial and k kk is an integer. x 2 + 5 x + 5 x + 3 = x+3 x 2 +5x+5 ​ =start fraction, x, squared, plus, 5, x, plus, 5, divided by, x, plus, 3, end fraction, equals

Answer 1

To divide polynomials, such as x^2 + 5x + 5 by x + 3, use polynomial long division to find a quotient in the form p(x) + k/(x + 3), where p(x) is a polynomial and k is an integer.

Step-by-step explanation:

To divide the polynomials x^2 + 5x + 5 by x + 3, we perform polynomial long division. This technique is similar to long division with numbers. First, we determine how many times the leading term of the divisor x fits into the leading term of the dividend x^2. That gives us the first term of the quotient, which in this case is x. We then multiply the entire divisor x + 3 by the quotient's first term x, subtract this product from the dividend, bring down the next term, and repeat the process.

The result is a polynomial p(x) plus a remainder. When the degree of the remainder is less than the degree of the divisor, we express the remainder as a fraction with the divisor as the denominator. The final quotient is in the form p(x) + k/(x + 3), where p(x) is the quotient polynomial and k is the remainder expressed as a number.

Answer 2

P(x) = (x+2) - 1/(x+3

Step-by-step explanation:

Find the solution attached below;

From the attachment

P(x) = Q(x) + R(x)/D(x)

P(x) = (x+2) - 1/(x+3)