Saltar al contenido principal
LibreTexts Español

7.8: Factorizar expresiones y resolver por factorización- Respuestas a los ejercicios de tarea

  1. Última actualización
  2. Guardar como PDF
  • Page ID
    117454

    • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    GCF y Agrupación

    1. \(9+8b^2\)
    1. \(7(8-5p)\)
    1. \(-3a^2b(1-2ab)\)
    1. \(10(2x^4-3x+3)\)
    1. \(5(6b^9+ab-3a^2)\)
    1. \(5x^3y^2z(4x^5z + 3x^2 + 7y)\)
    1. \(5q(6pr-p+1)\)
    1. \(-10x^{11}(4+2x-5x^2+5x^3)\)
    1. \(x-5\)
    1. \(10(5x-8y)\)
    1. \(4x^3(2y^2+1)\)
    1. \(3(7p^6+10p^2+9)\)
    1. \(3(7p^6+10p^2+9)\)
    1. \(3(p+4q-5q^2r^2)\)
    1. \(7b(4+2b+5b^2+b^4)\)
    1. \(-4x^2(6x^4+x^2-3x-1)\)
    1. \((8r^2-5)(5r-1)\)
    1. \((3b^2-7)(5b+7)\)
    1. \((7x^2-4)(5x-4)\)
    1. \((8x+3)(4y+5x)\)
    1. \((2x+7y^2)(y-4x)\)
    1. \((4u+3)(8v-5)\)
    1. \((3u-7)(v-2u)\)
    1. \((5x^2-8)(7x-2)\)
    1. \((6x^2+5)(x-8)\)
    1. \((7n^2-5)(n+3)\)
    1. \((3a+b^2)(5b-2)\)
    1. \((m-5)(5n+2)\)
    1. \(2(u+3)(2v+7u)\)
    1. \((7a-2)(8b-7)\)

    Factorización de Trinomios de la Forma\(x^2+bx+c\)

    1. \((p+9)(p+8)\)
    1. \((x+1)(x-10)\)
    1. \((x-7)(x+10)\)
    1. \((p+6)(p+9)\)
    1. \((u-5v)(u-3v)\)
    1. \((x-9y)(x-2y)\)
    1. \((x+6y)(x-2y)\)
    1. \(6(a-4)(a+8)\)
    1. \(6(x+9y)(x+7y)\)
    1. \((x-5)(x+6)\)
    1. \((b-10)(b-7)\)
    1. \((a+3)(a-9)\)
    1. \((m-5n)(m-10n)\)
    1. \((x+8y)(x+2y)\)
    1. \((x+5y)(x+9y)\)
    1. \(5(n-8)(n-1)\)
    1. \(5(m^2+6mn-18n^2)\)

    Factorización de Trinomios de la Forma\(ax^2+bx+c\)

    1. \(p=1\)
    1. \(p=1\)
    1. \((7x-6)(x-6)\)
    1. \((5a+7)(a-4)\)
    1. \((2x+5)(x+7)\)
    1. \((5k+3)(k+2)\)
    1. \((3x+2y)(x+5y)\)
    1. \(3(2x+1)(x-7)\)
    1. \(2(7x-2)(x-4)\)
    1. \((k-4)(4k-1)\)
    1. \((m-3n)(4m+3n)\)
    1. \(2(2x+7y)(3x+5y)\)
    1. \((7n-2)(n-6)\)
    1. Prime, no factorizable
    1. \((7x-6)(x+5)\)
    1. \((3r+7)(r+3)\)
    1. \((7x+5y)(x-y)\)
    1. \(2(5a+3)(a-6)\)
    1. \((r+1)(4r-3)\)
    1. \((r-1)(4r+7)\)
    1. \(2(2x^2-3xy+15y^2)\)
    1. \(4(x+3y)(4x+3y)\)
    1. \((x-2y+9)(x-2y-2)\)
    1. \((5a-3b+4)(5a-3b+4)\)
    1. \((w^{1/5}+8)(w^{1/5}-10)\)
    1. \((x^{1/3}+10)(x^{1/3}-2)\)

    Productos Especiales

    1. \((r+4)(r-4)\)
    1. \((p+2)(p-2)\)
    1. \(3(x+3)(x-3)\)
    1. \(2(3a+5b)(3a-5b)\)
    1. \((x+3)^2\)
    1. \((5p-1)^2\)
    1. \((2a-5b)^2\)
    1. \((2-m)(4+2m+m^2)\)
    1. \((6-u)(36+6u+u^2)\)
    1. \((4x+3y)(16x^2-12xy+9y^2)\)
    1. \((a^2+9)(a+3)(a-3)\)
    1. \((x^2+y^2)(x+y)(x-y)\)
    1. \((x+3)(x-3)\)
    1. \((2v+1)(2v-1)\)
    1. \(5(n+2)(n-2)\)
    1. \(4(m^2+16n^2)\)
    1. \((n-4)^2\)
    1. \((x+1)^2\)
    1. \(2(3m-2n)^2\)
    1. \((x+4)(x^2-4x+16)\)
    1. \((5x-6)(25x^2+30x+36)\)
    1. \(4(2m-3n)(4m^2+6mn+9n^2)\)
    1. \((x^2+16)(x+4)(x-4)\)
    1. \((4a^2+b^2)(2a+b)(2a-b)\)

    Factoring, una estrategia general

    1. \(3(2a+5y)(4z-3h)\)
    1. \(-2(x-4y)(x^2+4xy+16y^2)\)
    1. \(2(3u-2)(9u^2+6u+4)\)
    1. \((x-3y)(x-y)\)
    1. \((m+2n)(m-2n)\)
    1. \(2(4+3x)(16-12x+9x^2)\)
    1. \(n(n+2)(n+5)\)
    1. \(x(5x+2)\)
    1. \((m-4x)(n+3)\)
    1. \(3(3m+4n)(3m-4n)\)
    1. \(2(m-2n)(m+5n)\)
    1. \(4(2x+3y)^2\)
    1. \(x(2x+3y)(x+y)\)
    1. \((5x+3)(x-5)\)
    1. \((x-3y)(x^2+3xy+9y^2)\)
    1. \(3m(m+2n)(m-4n)\)
    1. \((3a+x^2)(c+5d^2)\)
    1. \((4a+3b)(4a-3b)\)
    1. \(2(4x+3y)(4x-3y)\)
    1. \(v(v+1)\)
    1. \(3n^2(3n-1)\)

    Resolver por Factoring

    1. \(7,-2\)
    1. \(-5,5\)
    1. \(-\dfrac{5}{7},-3\)
    1. \(4,0\)
    1. \(\dfrac{3}{7},-8\)
    1. \(-4,-3\)
    1. \(\dfrac{8}{3},-5\)
    1. \(-4,1\)
    1. \(-\dfrac{5}{2},-8\)
    1. \(-4,3\)
    1. \(4,-8\)
    1. \(-\dfrac{7}{8},8\)
    1. \(8,0\)
    1. \(-\dfrac{1}{7},-8\)
    1. \(8,-4\)
    1. \(-\dfrac{1}{2},\dfrac{5}{3}\)
    1. \(2,-3\)
    1. \(-\dfrac{6}{5},-7\)
    1. \(5,7\)

    Resolver aplicaciones por factorización

    1. \(8,13\)
    1. \(6,8\)
    1. \(4,11\)
    1. \(4,7\)
    1. \(6,9\)
    1. \(13\times 9\)pulgadas
    1. \(9\times 5\)pulgadas
    1. \(10\times 4\)pulgadas
    1. \(12\times 8\)pulgadas
    1. \(11\times 8\)pulgadas
    1. \(7\)segundos
    1. \(16\)unidades

    This page titled 7.8: Factorizar expresiones y resolver por factorización- Respuestas a los ejercicios de tarea is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz (ASCCC Open Educational Resources Initiative) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.