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8.1: Kuongezea na Kutoa kwa wingi (na Kuchanganya Kama Masharti)

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    Ufafanuzi: Kama Masharti

    Ili kuongeza na kuondoa polynomials, kuchanganya kama maneno. Kama maneno na vigezo sawa na exponents sawa. Coefficients ya maneno inaweza kuwa tofauti.

    Kuwa makini wakati wa kuondoa, kusambaza uondoaji (fikiria kama kuongeza\((−1)\) mara nyingi).

    Mfano Template:index

    Ongeza au Ondoa Polynomials:

    1. \((−6a^3 + 5a^2 − 7a − 9) + (3a^3 + 5a^2 + a + 8)\)
    2. \((4x^2 − 3) + (3x^2 − 8x + 7)\)
    3. \((3x^2 − 4x + 6) − (2x^2 − x − 9)\)
    4. \((−4x^3 + 5x^2 + 15) − (2x^2 − 4x + 9)\)
    Suluhisho
    1. \(\begin{array} &&(−6a^3+5a^2−7a−9)+(3a^3+5a^2+a+8) &\text{Example problem} \\ &−6a^3 + 3a^3 + 5a^2 + 5a^2 − 7a + a − 9 + 8 &\text{Pair like terms together} \\ &−3a^3 + 10a 2 − 6a − 1 &\text{Solution} \end{array}\)
    1. \(\begin{array} &&(4x^2 − 3) + (3x^2 − 8x + 7) &\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\text{Example problem} \\ &4x^2 + 3x^2 − 8x − 3 + 7 &\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\text{Pair like terms together} \\ &7x^2 − 8x + 4 &\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\text{Solution} \end{array}\)
    1. \(\begin{array} &&(3x^2 − 4x + 6) − (2x^2 − x − 9) \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;&\text{Example problem} \\ &3x^2 − 2x^2 − 4x + x + 6 + 9 \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;&\text{Distribute the subtraction and pair like terms together} \\ &x^2 − 3x + 15 \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;&\text{Solution} \end{array}\)
    1. \(\begin{array} &&(−4x^3 + 5x^2 + 15) − (2x^2 − 4x + 9) \;\;\;\;\;\;\;\;\;\;\;&\text{Example problem} \\ &−4x^3 + 5x^2 − 2x^2 + 4x + 15 − 9 \;\;\;\;\;\;\;\;\;\;\;&\text{Distribute the subtraction and pair like terms together} \\ &−4x^3 + 3x^2 + 4x + 6 \;\;\;\;\;\;\;\;\;\;\;&\text{Solution} \end{array}\)
    Zoezi Template:index

    Kuongeza au Ondoa Polynomials

    1. \((5x^2 + 8) − (x^2 + 4x + 3)\)
    2. \((x^3 − 14x^2 ) − (−4x^3 + 5x^2 + 8)\)
    3. \((6x^2 + 7x − 9) + (−9x^2 + 2)\)
    4. \((x^3 + 6x^2 − 8x + 14) + (9x^3 − 7x^2 + 5x − 11)\)
    5. \((3x − 4) − (2x^2 − 3x − 9)\)
    6. \((2x^2 + x + 3) − (5x^2 − 1)\)
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    This page titled 8.1: Kuongezea na Kutoa kwa wingi (na Kuchanganya Kama Masharti) was last modified on Mon, 31 Oct 2022 22:11:15 GMT and is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Victoria Dominguez, Cristian Martinez, and Sanaa Saykali (ASCCC Open Educational Resources Initiative) .