Chapter 4.3, Problem 43E

To determine

To find: the zero of the given function.

Answer to Problem 43E

The zero of function is $x=-7$ .

Explanation of Solution

Given information:

Given function

  $g\left(x\right)=x^2+14x+49$

Calculation:

Consider the function $g\left(x\right)=x^2+14x+49$

To find the zeros of the function, solve $g\left(x\right)=0$

  $x^2+14x+49=0$

Solve the equation for $x$ .

  $\begin{array}{c}{x}^2+14x+49=0\\ x^2+2\cdot 7\cdot x+7^2=0\\ {\left(x+7\right)}^2=0\\ x+7=0\\ x=-7\end{array}$

Therefore, the zero of function is $x=-7$ .