Question

if 1 and -2 are two zeros of the polynomial x cube minus 4 x square - 7 x + 10 find its third zero​

Answer 1

Answer:

Third zero is 5.

Step-by-step explanation:

x = 1 and x = -2 are two zeroes.

This implies -

(x - 1) and (x + 2) are factors of the given polynomial.

Also,

(x - 1)(x + 2) is also a factor of the given polynomial.

Now,

x^3 - 4x^2 - 7x + 10 = (x - 1)(x + 2)(x - 5) + 0

This implies,

(x - 5) is the third factor of the given polynomial.

Therefore, x = 5 is the third zero.