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12 September, 13:17

Write the quadratic equation whose roots are - 2 and 4, and whose leading coefficient is 5.

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Answers (2)
  1. 12 September, 13:35
    0
    Answer:5x^2-10x-40=0

    Step-by-step explanation:

    x=-2 or x=4

    x+2=0 or x-4=0

    (x+2) (x-4) = 0

    x^2-4x+2x-8=0

    x^2-2x-8=0

    Multiply the equation by 5

    5x^2-10x-40=0
  2. 12 September, 16:28
    0
    10x2 + 30x - 40

    Step-by-step explanation:

    If the two roots are - 2 and 4 then the factors shall be;

    5 (x+2) (x-4)

    5 is the leading coefficient.

    FOIL:

    f (x) = 5 (x2+4x+2x-8) =

    f (x) = 5 (x2+6x-8) =

    f (x) = 10x2 + 30x - 40
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