** Final Answer

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** Step-by-step Solution **

Problem to solve:

** Specify the solving method

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The discriminant (D) of a quadratic polynomial of the form $ax^2+bx+c$ is calculated using the following formula, where $a$, $b$ and $c$ are the coefficients of the corresponding terms

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From the equation, we see that $a=-1$, $b=7$ and $c=-10$. Replacing the values of $a$, $b$ and $c$ in the previous formula, we obtain

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Multiply $-1$ times $4$

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Multiply $-4$ times $-1$

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Multiply $4$ times $1$

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Multiply $4$ times $-10$

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Calculate the power $7^2$

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Subtract the values $49$ and $-40$

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The discriminant of the polynomial results in

** Final Answer

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