Question

If 1 and 2 are the two zeros of polynomial x^3 - 4x^2- 7x + 10 then find the third zero.

Answer 1

Let f(x) = x3 – 4x2 – 7x + 10

Since 1 and –2 are the zeroes of f(x), it follows that each one of (x–1) and (x+2) is a factor of f(x).

Consequently, (x–1) (x+2) = (x2 + x – 2) is a factor of f(x)

On dividing f(x) by (x2 + x – 2), we get:

Step-by-step explanation: