The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadra

Question

The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.

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King 3 years 2021-07-31T14:08:42+00:00 1 Answers 43 views 0

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  1. Dau
    0
    2021-07-31T14:10:39+00:00
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    Answer:

    4x² – 24x + 20 = 0

    Step-by-step explanation:

    a(1)² + b(1) + 20 = 0

    a(5)² + b(5) + 20 = 0

    a + b = – 20 ⇒ b = – a – 20 …… (1)

    25a + 5b = – 20 ………. (2)

    (1) —–> (2)

    25a + 5( – a – 20) = – 20

    20a – 100 = – 20 ⇒ a = 4

    4 + b = – 20 ⇒ b = – 24

    4x² – 24x + 20 = 0

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