The factored form of the related polynomial function is (x - 1)(x - 7).
What is polynomial function ?
Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
We have,
In the graph given in question, we can see that x - intercepts the axis twice.
And graphs behave differently at various x - intercepts. Sometimes the graph will cross over the x-axis at an intercept and other times the graph will touch the x-axis and bounce off.
Now, in graph;
The intercept at x = 1 ,
i.e. the solution of the x - 1 = 0 and passes through the axis.
Now,
The x - intercept at x = 7, is the solution of x - 7 = 0 and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is (x - 1)(x - 7)
Thus, we can say that the factored form of the related polynomial function is (x - 1)(x - 7).
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