Find Zeros
In order to find the zeros of a function, we need to solve for the values of the variable that make the function equal to zero
In order to find the zeros of a function, we need to solve for the values of the variable that make the function equal to zero.
Let’s first clarify that a zero of a function is a value of the variable x for which f(x) = 0.
To find the zeros of a function, we set the function equal to zero and solve for x.
For example, consider the function f(x) = 2x^2 – 5x + 3.
To find the zeros, we set f(x) equal to zero:
0 = 2x^2 – 5x + 3
This is a quadratic equation, so we can either factor it or use the quadratic formula to find the zeros.
Let’s attempt to factor the equation:
0 = (2x – 3)(x – 1)
Setting each factor equal to zero, we get:
2x – 3 = 0 or x – 1 = 0
Solving for x in each equation, we find:
2x = 3 or x = 1
Dividing both sides of the first equation by 2, we get:
x = 3/2
So, the zeros of the function f(x) = 2x^2 – 5x + 3 are x = 1 and x = 3/2.
These are the values of x for which the function equals zero.
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