Solution :

The polynomial division for the following quotient of x+5 and the remainder of -2 will be

\(x^{3}+x^{2}+x+1\)

Step 2

\(\frac{x+5}{x^{2}})x^{3}+x^{2}+x+1x^{2}+x+1\) where the remainder will be -2

asked 2021-03-06

Discuss the following situation by computation or proving. Make sure to show your complete solution.

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

asked 2020-10-25

Discuss the following situation by computation or proving.

Make sure to show your complete solution.

Give a polynomial division that has a quotient of \(x+5\) and a remainder of -2.

Make sure to show your complete solution.

Give a polynomial division that has a quotient of \(x+5\) and a remainder of -2.

asked 2020-10-23

asked 2020-11-08

Consider the polynomial Division \(\frac{x^{3}+5x^{2}-7x−4}{x−2}\)

The correct Answer is: hint the answers contains \(x^{2}\), x, and it has a remainder.

The correct Answer is: hint the answers contains \(x^{2}\), x, and it has a remainder.

asked 2020-11-26

Whether the statement “When performing the division \(\frac{x^{5} +1}{x + 1}\) there's no need for me to follow all the steps involved in polynomial long division because I can work the problem in my head and see that the quotient must be \(x^{4} + 1\) ”makes sense or not.” Makes sense or not.

asked 2021-06-13

Carla is using the Rational Root Theorem and synthetic division to find real roots of polynomial functions and sketch their graphs. She says she has wasted her time when she tests a possible root and finds a nonzero remainder instead. Do you agree with her statement? Explain your reasoning.

asked 2020-12-21

\(\text{quotient}+\frac{remainder}{divisor}\)

Then use this form of the function's equation and transformations of

\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}}}}\)

to graph g.

\(\displaystyle{g{{\left({x}\right)}}}={\frac{{{2}{x}+{7}}}{{{x}+{3}}}}\)

asked 2021-01-10

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

asked 2021-01-31

\(\text{quotient}+\frac{remainder}{divisor}\)

Then use this form of the function's equation and transformations of

\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}}}}\)

to graph g.

\(\displaystyle{g{{\left({x}\right)}}}={\frac{{{3}{x}-{7}}}{{{x}-{2}}}}\)

asked 2021-05-18

When \(2x^{2}-7+9\) is divided by a polynomial, the quotient is 2x - 3 and the remainder is 3. Find the polynomial?