Question

If synthetic division reveals a zero, why should we try that value again as a possible solution?

- Polynomial functions can have imaginary zeros, so if it is an imaginary zero, it could also be a real zero.

- Polynomial functions can have repeated zeros, so the fact that a number is a zero doesn't preclude it being a zero again.

- Polynomial functions can have real zeros, so the fact that a number is a real zero means it could also be an imaginary zero.

- Polynomial functions can have imaginary zeros, so if it is a zero, it could also be an imaginary zero.

- Polynomial functions can have rational zeros, so trying a value again can help find irrational zeros.

Answer 1

polynomials can have double roots, in fact they're pretty common. if you get a reasonable zero it costs very little time to try it again for a double root. answer is the second choice

Answer 2

The correct option is:

Polynomial functions can have repeated zeros, so the fact that a number is a zero doesn't preclude it being a zero again.

Explanation:

As we know that if we get a zero of a polynomial than that particular zero could also be a zero of multiplicity greater than one or in short we can say that it is a repeated zero of the polynomial.

Hence, in order to check that it is a repeated zero we factorize the polynomial and see that it is a zero of the other factor or not if it is a zero of the other factor then we will say that the zero is a repeated zero of the polynomial.