The factored form of the related polynomial function is [tex](x-1)(x+7).[/tex]
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 [tex]x-[/tex]intercepts the axis twice.
And graphs behave differently at various [tex]x-[/tex]intercepts. Sometimes the graph will cross over the [tex]x-[/tex]axis at an intercept and other times the graph will touch the [tex]x-[/tex]axis and bounce off.
Now, in graph;
The [tex]x-[/tex]intercept at [tex]x=1[/tex], i.e. the solution of the [tex]x-1=0[/tex] and passes through the axis.
Now,
The [tex]x-[/tex]intercept at [tex]x=7[/tex] is the solution of [tex]x-7=0[/tex] and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is [tex](x-1)(x+7).[/tex]
Hence, we can say that the factored form of the related polynomial function is [tex](x-1)(x+7).[/tex]
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