Exercícios de polinômios e fatoração

Prealgebra10.1 Add and Subtract Polynomials

Exemplo 10.1Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial: ⓐ8x^2−7x−9ⓑ−5a^4ⓒx^4−7x^3−6x^2+5x+2ⓓ11−4y^3ⓔnMais um parecido para tentar
Exemplo 10.2Find the degree of the following polynomials: ⓐ4xⓑ3x^3−5x+7ⓒ−11ⓓ−6x^2+9x−3ⓔ8x+2Mais um parecido para tentar
Exemplo 10.3Add: 17x^2+6x^2.Mais um parecido para tentar
Exemplo 10.4Subtract: 11n−(−8n).Mais um parecido para tentar
Exemplo 10.5Simplify: a^2+4b^2−7a^2.Mais um parecido para tentar
Exemplo 10.6Find the sum: (4x^2−5x+1)+(3x^2−8x−9).Mais um parecido para tentar
Exemplo 10.7Find the difference: (7u^2−5u+3)−(4u^2−2).Mais um parecido para tentar
Exemplo 10.8Subtract: (m^2−3m+8) from (9m^2−7m+4).Mais um parecido para tentar
Exemplo 10.9Evaluate 3x^2−9x+7 when ⓐx=3ⓑx=−1Mais um parecido para tentar
Exemplo 10.10The polynomial −16t^2+300 gives the height of an object t seconds after it is dropped from a 300 foot tall bridge. Find the height after t=3 seconds.Mais um parecido para tentar

Prealgebra10.2 Use Multiplication Properties of Exponents

Prealgebra10.3 Multiply Polynomials

Prealgebra10.4 Divide Monomials

Prealgebra10.5 Integer Exponents and Scientific Notation

Prealgebra10.6 Introduction to Factoring Polynomials

Elementary Algebra6.1 Add and Subtract Polynomials

Elementary Algebra6.2 Use Multiplication Properties of Exponents

Elementary Algebra6.3 Multiply Polynomials

Elementary Algebra6.4 Special Products

Elementary Algebra6.5 Divide Monomials

Elementary Algebra6.6 Divide Polynomials

Elementary Algebra6.7 Integer Exponents and Scientific Notation

Elementary Algebra7.1 Greatest Common Factor and Factor by Grouping

Elementary Algebra7.2 Factor Quadratic Trinomials with Leading Coefficient 1

Elementary Algebra7.3 Factor Quadratic Trinomials with Leading Coefficient Other than 1

Elementary Algebra7.4 Factor Special Products

Elementary Algebra7.5 General Strategy for Factoring Polynomials

Elementary Algebra7.6 Quadratic Equations

Elementary Algebra8.1 Simplify Rational Expressions

Elementary Algebra8.2 Multiply and Divide Rational Expressions

Elementary Algebra8.3 Add and Subtract Rational Expressions with a Common Denominator

Elementary Algebra8.4 Add and Subtract Rational Expressions with Unlike Denominators

Elementary Algebra8.5 Simplify Complex Rational Expressions

Elementary Algebra8.6 Solve Rational Equations

Elementary Algebra8.7 Solve Proportion and Similar Figure Applications

Elementary Algebra8.8 Solve Uniform Motion and Work Applications

Elementary Algebra8.9 Use Direct and Inverse Variation

Algebra and Trigonometry5.1 Quadratic Functions

Algebra and Trigonometry5.2 Power Functions and Polynomial Functions

Algebra and Trigonometry5.3 Graphs of Polynomial Functions

Algebra and Trigonometry5.4 Dividing Polynomials

Algebra and Trigonometry5.5 Zeros of Polynomial Functions

Algebra and Trigonometry5.6 Rational Functions

Algebra and Trigonometry5.7 Inverses and Radical Functions

Algebra and Trigonometry5.8 Modeling Using Variation

Precalculus3.1 Complex Numbers

Precalculus3.2 Quadratic Functions

Exemplo 9Solving a Quadratic Equation with the Quadratic FormulaSolve x^2 +x+2=0.

Precalculus3.3 Power Functions and Polynomial Functions

Exemplo 1Identifying Power FunctionsWhich of the following functions are power functions? f(x)=1 Constant function f(x)=x Identify function f(x)=x^2 Quadratic function f(x)=x^3 Cubic function f(x)=1/x Reciprocal function f(x)=1/(x^2) Reciprocal…Mais um parecido para tentar

Precalculus3.4 Graphs of Polynomial Functions

Exemplo 11Using Local Extrema to Solve ApplicationsAn open-top box is to be constructed by cutting out squares from each corner of a 14 cm by 20 cm sheet of plastic then folding up the sides. Find the size of squares that should be cut out to maximize the volume…Mais um parecido para tentar

Precalculus3.5 Dividing Polynomials

Exemplo 6Using Polynomial Division in an Application ProblemThe volume of a rectangular solid is given by the polynomial 3x^4 −3x^3 −33x^2 +54x. The length of the solid is given by 3x and the width is given by x−2. Find the height of the solid.Mais um parecido para tentar

Precalculus3.6 Zeros of Polynomial Functions

Exemplo 2Using the Factor Theorem to Solve a Polynomial EquationShow that (x+2) is a factor of x^3 −6x^2 −x+30. Find the remaining factors. Use the factors to determine the zeros of the polynomial.Mais um parecido para tentar

Precalculus3.7 Rational Functions

Exemplo 7Identifying Horizontal and Slant AsymptotesFor the functions below, identify the horizontal or slant asymptote. ⓐ g(x)=(6x^3 −10x)/(2x^3 +5x^2) ⓑ h(x)=(x^2 −4x+1)/(x+2) ⓒ k(x)=(x^2 +4x)/(x^3 −8)

Precalculus3.8 Inverses and Radical Functions

Exemplo 5Finding the Inverse of a Radical FunctionRestrict the domain and then find the inverse of the function f(x)=√(x−4).Mais um parecido para tentar