Simplifying a ratio of polynomials

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Simplifying polynomial expressions. Polynomial expressions are expressions that only involve the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. If the expression involves division of a variable, it is a rational expression (discussed later), not a polynomial expression.

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Simplify the rational function formula \(R(y)=\frac{-y-2y^2}{2y^3-y^2-y}\) and state the domain of \(R\text{.}\) Explanation \begin{align*} R(y)\amp=\frac{-y-2y^2}{2y^3-y^2-y}\\ R(y)\amp=\frac{-2y^2-y}{y(2y^2-y-1)}\\ R(y)\amp=\frac{-\cancelhighlight{y}\secondcancelhighlight{(2y+1)}}{\cancelhighlight{y}\secondcancelhighlight{(2y+1)}(y-1)}\\ R(y)\amp=-\frac{1}{y-1}, \text{ for }y eq 0, y eq -\frac{1}{2} \end{align*}

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The computer is able to calculate online the degree of a polynomial. Calculating the degree of a polynomial. The calculator may be used to determine the degree of a polynomial. To obtain the degree of a polynomial defined by the following expression `x^3+x^2+1`, enter : degree(`x^3+x^2+1`) after calculation, the result 3 is returned. From simplifying a ratio of polynomials calculator online to adding and subtracting fractions, we have everything discussed. Come to Algebra-net.com and learn power, elementary algebra and numerous additional math subject areas

This preview shows page 4 - 6 out of 6 pages.. Simplify. IV. Least Common Multiple of Polynomials Factor the first polynomial.? 3 − ? 3 − 2? Factor the second polynomial.? 2 − 4? + 4 List the minimum amount of factors that you would need to make a polynomial that has all of the factors of the two polynomials. 4x2 36x 40. 21. 3x 24x 21. B. Solve 1. 3 −15=0 2 2. 16 2−4 =0 3. 4 −1=0 4. 2−5 −14=0. Chapter 4 Math 3201 3. Answers: 1. 9( +2) 2. (11 −6) 3.( + )( − ) 4.(5 +3)(5 −3) 5.(8+ )(8− ) 6.(3 +8𝑝)(3 −8𝑝) 7.( +1)( −1) 8. 4( +4)( −4) 9. ( +1)( −1) 10.