Question

If function g has the factors (x − 7) and (x + 6), what are the zeros of function g?

Answer 1

-6 or 7

Explanation:

The factors of g tell us the zeros of g by factor theorem.

That is, g(c)=0 if and only if x-c is a factor.

Since g(x)=(x-7)(x+6) then g(7)=0 and g(-6)=0.

Since those two x values output 0, then those x values are called the zeros.

Solutions: -6 or 7

Answer 2

The zeros would be x = 7, -6

Explanation:

When you graph this, you can clearly see where the values cross the x-axis. It's easier to remember to just switch the values though. So x - 7 means there's a zero at +7.