Select from the following which is the polynomial function that has the given zeros. $1 + \sqrt { 5 } , 1 - \sqrt { 5 }$
A) $f ( x ) = - x ^ { 2 } - 2 x - 4$
B) $f ( x ) = - x ^ { 2 } - 2 x + 4$
C) $f ( x ) = x ^ { 2 } - 2 x - 4$
D) $f ( x ) = x ^ { 2 } - 2 x + 4$
E) $f ( x ) = x ^ { 2 } + 2 x - 4$

Question

Select from the following which is the polynomial function that has the given zeros.   $1 + \sqrt { 5 } , 1 - \sqrt { 5 }$  
A) $f ( x ) = - x ^ { 2 } - 2 x - 4$
B) $f ( x ) = - x ^ { 2 } - 2 x + 4$  
C) $f ( x ) = x ^ { 2 } - 2 x - 4$
D) $f ( x ) = x ^ { 2 } - 2 x + 4$
E) $f ( x ) = x ^ { 2 } + 2 x - 4$

Quizplus · Accepted Answer

Given zeros are $1 + \sqrt{5}$ and $1 - \sqrt{5}$. The polynomial with these zeros can be found by setting $x - (1 + \sqrt{5}) = 0$ and $x - (1 - \sqrt{5}) = 0$, then multiplying these factors together. The correct polynomial is $x^2 - 2x - 4$.

Select from the Following Which Is the Polynomial Function That 1+5,1−51 + \sqrt { 5 } , 1 - \sqrt { 5 }1+5​,1−5​

Select from the Following Which Is the Polynomial Function That $1 + \sqrt { 5 } , 1 - \sqrt { 5 }$