Question

If the two zeros of polynomial f(x) = x^3 - 4 x^2 -3x + 12 are sqrt3 and -sqrt3 ; then find its third zero.​

Answer 1

Answer:

given polynomial = x³ + x² -9x - 9

here , a = 1

b = 1

c = -9

d = -9

and

two zeroes are 3 and - 3

let the third zero be ß,

since

sum of zeros = -b/a

=> -3 + 3 + ß = -1/1

=> ß = -1

so, the third zero is -1.