Write a polynomial f (x) that meets the given conditions. Answers may vary.
-Degree 2 polynomial with zeros $3 \sqrt { 5 }$ and $- 3 \sqrt { 5 }$
A) $f ( x ) = x ^ { 2 } - 6 \sqrt { 5 } x + 45$
B) $f ( x ) = x ^ { 2 } + 45$
C) $f ( x ) = x ^ { 2 } + 6 \sqrt { 5 } x + 45$
D) $f ( x ) = x ^ { 2 } - 45$

Question

Quizplus · Accepted Answer

The polynomial with zeros $3 \sqrt{5}$ and $-3 \sqrt{5}$ is $f(x) = (x - 3\sqrt{5})(x + 3\sqrt{5}) = x^2 - (3\sqrt{5})^2 = x^2 - 45$.

Write a Polynomial F (X) That Meets the Given Conditions 353 \sqrt { 5 }35​

Write a Polynomial F (X) That Meets the Given Conditions $3 \sqrt { 5 }$