Question

find a quadratic Polynomial as the sum and product of its zeroes are -16/5 and 3/5 respectively.​

Answer 1

Answer:

5x^2 + 16x +3

Step-by-step explanation:

x ^2 -(sum of zeroes)x + (product of zeroes)

x^2 + 16/5 x + 3/5

on solving we get

(5x^2 + 16x + 3) ÷ 5

k ( 5x^2 +16x +3 ) ÷5

let k=5

so we get ( 5x^2 +16x + 3 )

Answer 2

Answer:

5x² +16x+3

Step-by-step explanation:

that

Quadratic polynomial is

k(x²-Sx+P)

where k=constant

S= Sum of zeroes

P= Product of zeroes

k[x²-(-16/5)x+3/5]

k[x²+16/5x+3/5]

Taking l.c.m

k(5x²+16x+3) /5

taking k=5

5(5x²+16x+3) /5

hence

5x²+16x+3 is the answer.