Question

find find the sum and product of the zeros of the following polynomial 1. 6x^2-5x-6
2.x^2-5x+6​

Answer 1

Step-by-step explanation:

1) 6x2-5x-6=0

sum=5/6

product =-1

2) x²-5x+6=0

x²-6x+x-6=0

x=6

x=-1

Answer 2

Questions :

find the sum and products of the zeros of the following polynomial

Answer:

$\bigstar \rm \: (1) \: {6x}^{2} - 5 x - 6$

$\implies \sf \: sum \: = \frac{ - b}{a} = \frac{ - ( - 5)}{6} = \frac{5}{6}$

$\implies \sf \: product = \frac{c}{a} = \frac{ - 6}{6} = - 1$

$\bigstar \rm \: (2) \: {x}^{2} - 5x + 6 = 0$

$\implies \sf \: sum = \frac{ - b}{a} = \frac{ - ( - 5)}{1} = 5$

$\implies \sf \: product \: = \frac{c}{a} = \frac{6}{1} = 6$