Question

f. 2) Find the sum and product of the zeroes of the Polynomial.
a = 6x²-5x-6​

Answer 1

Solution

▪︎ 6x² -5x -6

= 6x²-(9-4)x-6

= 6x²- 9x+4x -6

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

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

= x= 3/2, x= -2/3

$sum \: of \: zeros \: = \frac{ - b}{a} \\ \\ = \frac{3}{2} + ( \frac{ - 2}{3} ) = \frac{ - 5}{6} \\ \\ = \frac{5}{6} = \frac{5}{6} \\ \\ = product \: of \: zeros = \frac{c}{a} \\ \\ = \frac{3}{2} \times \frac{ - 2}{3} = \frac{ - 6}{6 } \\ \\ = \frac{ - 6}{6} = \frac{ - 6}{6}$