X=3,-1,-7 write a polynomial function in standard form with given zero

Question

X=3,-1,-7 write a polynomial function in standard form with given zero

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Thu Hương 1 month 2021-08-02T09:54:04+00:00 2 Answers 4 views 0

Answers ( )

    0
    2021-08-02T09:55:14+00:00

    Answer:

    f(x) = x³ + 5x² – 17x – 21

    General Formulas and Concepts:

    Algebra I

    • Standard Form: f(x) = axⁿ + bxⁿ⁻¹ + cx + d
    • Roots of a Polynomial: (x + a)(x + b)(x + c)(x + …)
    • Expanding by FOIL-ing
    • Combining Like Terms

    Step-by-step explanation:

    Step 1: Define

    Roots x = -7, -1, 3

    Step 2: Find function

    1. Write binomial roots:                    f(x) = (x – 3)(x + 1)(x + 7)
    2. Expand:                                         f(x) = (x² + x – 3x – 3)(x + 7)
    3. Combine like terms(x):                 f(x) = (x² – 2x – 3)(x + 7)
    4. Expand:                                         f(x) = x³ – 2x² – 3x + 7x² – 14x – 21
    5. Combine like terms(x²):                f(x) = x³ + 5x² – 3x – 14x – 21
    6. Combine like terms(x):                 f(x) = x³ + 5x² – 17x – 21
    0
    2021-08-02T09:55:57+00:00

    Answer:

    not really sure but maybe: 0=(x-3)(x+1)(x+7) and then simplify it?

    Step-by-step explanation:

    y=(x-3)(x+1)(x+7)

     =x^3+5x^2-17x-21

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )