find the zero of a polynomial f(x) =x^3-5x^2-2x+24 if it is given that the product of its two zero is 12
Answers
Answered by
0
the zeros of polynomial are 3 & 4
Answered by
3
Let the three Zeros of the equation are a,b and cgiven , ab=12
sum of zerosa+b+c = 5. eq1sum of product of zerosab+bc+ca = -2 eq2product of zeros abc=-24 eq 3using eq 3 and given data(ab)c=-24(12)c=-24c=-24/12c=-2one zero of this equation is-2using eq1 we havea+b=7 eq4using eq 4 and ab= 12we have 3,4 is the correct answer.
so all the three zeros of this equation is -2,3 and 4.
sum of zerosa+b+c = 5. eq1sum of product of zerosab+bc+ca = -2 eq2product of zeros abc=-24 eq 3using eq 3 and given data(ab)c=-24(12)c=-24c=-24/12c=-2one zero of this equation is-2using eq1 we havea+b=7 eq4using eq 4 and ab= 12we have 3,4 is the correct answer.
so all the three zeros of this equation is -2,3 and 4.
Similar questions