Question

If p(x)=1/3x^2-5x+3/2 then finds its sum and product of zeroes

Answer 1

Answer:

Sum = 15

product = 4.5

Step-by-step explanation:

sum of zeroes of any polynomial of the form

$a {x}^{2} + bx + c$

is

$\frac{ - b}{a}$

and the product is

$\frac{c}{a}$

so, for this polynomial, i.e ,

${ \frac{1}{3}x }^{2} - 5x + \frac{3}{2}$

sum =

$\frac{ - ( - 5)}{ \frac{1}{3} } \\ = 5 \times 3 \\ = 15$

and product =

$\frac{ \frac{3}{2} }{ \frac{1}{3} } \\ = \frac{3 \times 3}{2} \\ = \frac{9}{2} \\ = 4.5$