Question

Find the quadratic polynomial whole sum of zeroes is 5 and product of zeroes is -24

Answer 1

sum of zeroes=-b/a

therefore,

-b/a=5

-b/a=5/1

so,

one possible value of b is -5

and possible value of a is 1

product of zeroes=c/a

-24=c/1

so,

one possible value of c is -24

a quadratic equation is always in the form of

ax²+bx+c=0

here,

a=1

b=-5

c=-24

therefore,

required quadratic equation is

x²-5x-24=0

Answer 2

sum=5

product=-24

to making an equation formula is:

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

x2-5x-24