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5 August, 13:22

Write a quadratic equation with roots of

1

3

and -

7

2

.

A) y = 6x2 - 19x - 7

B) y = 6x2 + 19x - 7

C) y = 7x2 - 19x - 6

D) y = 7x2 + 19x - 6

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Answers (1)
  1. 5 August, 16:23
    0
    If the roots are 1 and 3, the factors of this quadratic are (x-1) and (x-3).

    The polynomial is x^2 - 4x + 3.

    If you were supposed to write a polynomial based upon all four given roots, then:

    Looks as tho' you have four distinct roots. The 4th order polynomial with these roots is f (x) = (x-1) (x-3) (x-7) (x-2). Multiply this out, combine like terms and then arrange the terms in descending order by powers of x.
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