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