Select from the following which is the polynomial of degree n that has the given zero(s).
Zero
Degree $x = - 7$ $n = 2$

A) $f ( x ) = x ^ { 2 } + 14 x + 49$
B) $f ( x ) = x ^ { 2 } - 14 x - 49$
C) $f ( x ) = - x ^ { 2 } + 14 x + 49$
D) $f ( x ) = x ^ { 2 } - 14 x + 49$
E) $f ( x ) = x ^ { 2 } + 14 x - 49$

Question

Select from the following which is the polynomial of degree n that has the given zero(s). ​
Zero
Degree $x = - 7$ $n = 2$ ​
​
A) $f ( x ) = x ^ { 2 } + 14 x + 49$
B) $f ( x ) = x ^ { 2 } - 14 x - 49$
C) $f ( x ) = - x ^ { 2 } + 14 x + 49$
D) $f ( x ) = x ^ { 2 } - 14 x + 49$
E) $f ( x ) = x ^ { 2 } + 14 x - 49$

Quizplus · Accepted Answer

The polynomial of degree 2 with a zero at $x = -7$ can be found by using the factor $(x + 7)$. Squaring this factor gives $f(x) = (x + 7)^2 = x^2 + 14x + 49$, which matches option A.

Select from the Following Which Is the Polynomial of Degree x=−7x = - 7x=−7

Select from the Following Which Is the Polynomial of Degree $x = - 7$