]It two zeroes of the polynomial are, find other zeroes.

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Solution

Given that 2 + and 2 are zeroes of the given polynomial.

Therefore, = x² + 4 − 4x − 3

= x² − 4x + 1 is a factor of the given polynomial

For finding the remaining zeroes of the given polynomial, we will find the quotient by dividing by x² − 4x + 1.

Clearly, =

It can be observed that is also a factor of the given polynomial.

And =

Therefore, the value of the polynomial is also zero when or

Or x = 7 or −5

Hence, 7 and −5 are also zeroes of this polynomial.

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