Question

find zero of quadratic polynomial and relationship between zero and coefficient

$6x {}^{2} - 3 - 7x$
​

Answer 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