Question

find the ratio of the sum and product of the zeros of the polynomial 5 x^2 + 2 x-10

Answer 1

ratio of the sum and product of the zeros of =
(-b/a)/c/a
=-b/c
where
a,b,c are coefficient of x²,x& constant terms

=-2/(-10)

=1/5.

Answer 2

Answer:

$\text{The ratio is }\frac{1}{5}$

Step-by-step explanation:

$\text{Given the polynomial }5x^2+2x-10$

we have to find the ratio of sum and product of zeroes.

$\text{Compare the given polynomial with general quadratic polynomial }ax^2+bx+c$

a=5, b=2, c=-10

$\text{sum of zeroes=}\frac{-b}{a}=\frac{-2}{5}$

$\text{Product of zeroes=}\frac{c}{a}=\frac{-10}{5}=-2$

$Ratio=\frac{\text{sum of zeroes}}{\text{product of zeroes}}=\frac{\frac{-2}{5}}{-2}=\frac{1}{5}$

$\text{hence, the ratio is }\frac{1}{5}$