Answer:
the zeros of the function g are -6 and 7 (option B)
Explanation:
Given:
the factors of function g(x) are (x - 7) and (x + 6)
To find:
the zeros of the function
[tex]g(x)\text{ = \lparen x-7\rparen\lparen x+6\rparen}[/tex]
To determine the zeros of a function, we will equate the function or its factors to zero:
[tex]\begin{gathered} g(x)\text{ = 0} \\ (x\text{ - 7\rparen\lparen x + 6\rparen= 0} \\ \\ x\text{ - 7 = 0 or x + 6 = 0} \\ x\text{ - 7 = 0} \\ x\text{ = 7} \\ \\ x\text{ + 6 = 0} \\ x\text{ = -6} \end{gathered}[/tex]
Hence, the zeros of the function are -6 and 7
