Question

find the sum and product of zeroes of the polynomial p (x) =5x^2+14x-3​

Answer 1

sum of zeros =-14/5,

the product of zeros=-3/5

Answer 2

On comparing this equation to $ax^2 + bx + c$

a = 5       b = 14      c = -3

so,

let the the zeros of polynomial be α and β respectively

so,

α + β = $\frac{-b}{a}$

α + β = $\frac{-14}{5}$

and,

α × β = $\frac{c}{a}$

α × β = $\frac{-3}{5}$

so, sum of zeros = $\frac{-14}{5}$

     product of zeros = $\frac{-3}{5}$