find zero of quadratic polynomial and relationship between zero and coefficient

[tex]6x {}^{2} – 3 – 7x [/tex]
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1 thought on “find zero of quadratic polynomial and relationship between zero and coefficient <br /><br />[tex]6x {}^{2} – 3 – 7x [/tex]<br />​”

1. Answer:

   6x²–7x–3

   middle term spilting

   6x² – 9x + 2x -3

   – 9x + 2x -33x(2x-3) +1 (2x-3)

   (3x +1) (2x -3) = 0

   3x +1 = 0

   3x +1 = 0 ⇒ 2x -3 = 0

   3x +1 = 0 ⇒ 2x -3 = 0⇒ x =3/2

   3x +1 = 0 ⇒ 2x -3 = 0⇒ x =3/2⇒ x = – 1/3

   sum of zeroes = -1/3 + 3/2 =7/6 = -b/a

   sum of zeroes = -1/3 + 3/2 =7/6 = -b/aproduct of zeroes =- 1/3 * 3/2 = – 3/6 or -1/2 = c/a

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