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Chapter 7: Q7. (page 350)

Find $p (3) and p (- 1)$ for the function $p (x) = - x^{3} + x^{2} - x$ .

Short Answer

Expert verified

The value of $p (3) = - 21 and p (- 1) = 3$ .

Step by step solution

01

Step 1. Write down the given information.

The given function is $p (x) = - x^{3} + x^{2} - x$ .

02

Step 2. Calculation.

Evaluating $p (3) and p (- 1)$ by plugging $x = 3 and x = - 1$ in given function $p (x) = - x^{3} + x^{2} - x$ .

$\begin{matrix} p (x) = 鈭� x^{3} + x^{2} 鈭� x .... (Given) \\ p (3) = 鈭� {(3)}^{3} + {(3)}^{2} 鈭� (3) \\ = 鈭� 21 \\ Now, p (鈭� 1) = 鈭� {(鈭� 1)}^{3} + {(鈭� 1)}^{2} 鈭� (鈭� 1) \\ = 3 \end{matrix}$

03

Step 3. Conclusion.

The value of $p (3) = - 21 and p (- 1) = 3$ .

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