Question

What is the equation of a polynomial with the given zeros: −1, 1 + 2√, 1 − 2√?

A. (x+1)(x-(1+2√2))(x-(1-2√2))
B. (x-1)(x+(1+2√2))(x+(1-2√2))
C. (x-1)(x-(1+2√2))(x-(1-2√2))
D. (x+1)(x+(1+2√2))(x+(1-2√2))

Answer 1

The equation of the polynomial with the given zeros is (x-1)(x-(1+2√2))(x-(1-2√2)).

Step-by-step explanation:

To find the equation of a polynomial with the given zeros, we will use the zero-product property. The zero-product property states that if a polynomial has a zero at a certain value, then the polynomial can be factored using (x - zero). Since we have three zeros, we will multiply the factors together to get the equation. The correct equation is option C: (x-1)(x-(1+2√2))(x-(1-2√2)).