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Please help if you know anything about polynomials, thank you

Please help if you know anything about polynomials, thank you-example-1
Please help if you know anything about polynomials, thank you-example-1
Please help if you know anything about polynomials, thank you-example-2
User Jkupczak
by
8.9k points

1 Answer

3 votes

Given


f(x)=(x^2-5x-14)/(q(x))

We want to find a possible graph of f(x)

Solution

First, notice the numerator of the function f(x)

It can be factorised


\begin{gathered} f(x)=(x^2-5x-14)/(q(x)) \\ f(x)=\frac{(x-7)(^{}x+2)}{q(x)} \end{gathered}

This mean that x = 7 and x = -2 are the roots of f(x)

This implies that the graph of f(x) must cross the x-axis at x = 7 and x = -2

By going through the option the correct option is B

Thus, from the graph above, It shows that only option B graph pass through x = 7 and x = -2

The right option is B

Please help if you know anything about polynomials, thank you-example-1
User Kuthay Gumus
by
8.5k points

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