Question

If the sum and the product of the zeroes of a polynomial is ( -16/5) and ( 3/5 )respectively. Them the polynomial is

Answer 1

Answer:

The sum and product of zeros of the quadratic polynomial are - 5 and 3 respectively the quadratic polynomial is equal to. A .

Answer 2

Answer:

Step-by-step explanation:

let the required polynomial be p(x) whose zeroes are alpha and beta,

sum of zeroes =alpha+beta=-16/5

product of zeroes=(alpha)(beta)=3/5

the polynomial p(x) is defined as

k(x²-(sum of zeroes)x+(product of zeroes))

k(x²-(-16/5)x+3/5)

k(x²+16x/5+3/5)

k(5x²+16x+3)/5

k/5(5x²+16x+3)

so 5x²+16x+3 is the polynomial whose sum and product of the zeroes are (-16/5) and 3/5 respectively

hope it helps you :)