Question

Find the quadratic polynomial whose sum of the zeroes is (-5)
and product of the zeroes is 4.​

Answer 1

sum of zeroes=-5

product of zeroes=4

-b/a=-5

-b/a=-5/1

a=1

b=5

c/a=4

c/1=4

c=4

Therefore equation is :-

ax^2+bx+c

x^2+5x+4

but if we multiply the whole equation by any number the sum and product of roots will not change

therefore,

answer is k(x^2+5x+4)