What is the value of the larger of the zeros of the function?
g (x) = (x-2) (x+9)
To find the value of the larger zero of the function, we need to determine the value of the zero itself. The zeros of a function are the values of x for which the function equals zero.
In this case, the given function g(x) is a quadratic function in factored form. It can be written as:
g(x) = (x - 2)(x + 9)
To find the zeros, we set g(x) equal to zero:
(x - 2)(x + 9) = 0
Now, we'll use the zero product property, which states that if a product of factors equals zero, then at least one of the factors must equal zero. Therefore, we can set each factor equal to zero and solve for x:
x - 2 = 0 or x + 9 = 0
Solving the first equation, we add 2 to both sides of the equation:
x - 2 + 2 = 0 + 2
x = 2
Solving the second equation, we subtract 9 from both sides of the equation:
x + 9 - 9 = 0 - 9
x = -9
So, the zeros of the function g(x) are x = 2 and x = -9. To find the value of the larger zero, we compare the two values and see that the larger zero is 2.