Is this equation is quadratic equation : x3 – 2×2 + 4 = 0

Is this equation is quadratic equation : x3 – 2×2 + 4 = 0

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Audrey

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  1. Hi .

    here’s your answer.

    Step by step solution :

    STEP

    1

    :

    Equation at the end of step 1

    ((x3) – 2×2) – 4x = 0

    STEP

    2

    :

    STEP

    3

    :

    Pulling out like terms

    3.1 Pull out like factors :

    x3 – 2×2 – 4x = x • (x2 – 2x – 4)

    Trying to factor by splitting the middle term

    3.2 Factoring x2 – 2x – 4

    The first term is, x2 its coefficient is 1 .

    The middle term is, -2x its coefficient is -2 .

    The last term, “the constant”, is -4

    Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

    Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -2 .

    -4 + 1 = -3

    -2 + 2 = 0

    -1 + 4 = 3

    Observation : No two such factors can be found !!

    Conclusion : Trinomial can not be factored.

    Hope it helped you.

    please mark this answer as brainiest.

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