According to the fundamental theorem of algebra, the graph of f(x) = x2 - 4x + 3, has roots. from the graph we can see that it has zeros.

The graph  has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation  the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get,

This is a quadratic equation,

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

Using zero product property,

or

or

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph  has two zeros  namely 3 and 1.  

answer: slight chance that it will happen

step-by-step explanation:

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