Question

Find the zeros of polynomial f(x)=x3-5x2-2x+24 , if it's given that the product of its two zeros of 12

Answer 1

Answer:

By relation we know that product of all zeroes is -d/a

let the three zeroes be a,b and c

and a*b= 12

now,

abc=-24 (by relation)

hence, c = -2

let c=x

x=-2

x+2=0

Now,by long division divide x+2 by the given equation

and we get x^2-7x+12 as the quotient

After middle  term splitting we get x=4

                                                         x=3