Question

Find polynomial 4xspuare +24x+36 are puadartic polynomial verify realations b/w the coffecent and zeroes

Answer 1

p(x)=4x^2+24x +36

Since 4 is common

4(x^2+6x+9)=0

x^2+6x+9=0

By factorisation

(x^2+3x)+3x+9=0

x(x+3) +3(x+3)=0

(x+3)(x+3)=0

So x=-3,-3 are the two zeroes

Let alpha=-3 and beta=-3

Sum of zeroes=-b/a

-3+(-3)=-(6)/1

-6=-6

Product of zeroes=c/a

3*3=9/1

9=9

Hence verified