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Chapter 7: Q24. (page 350)

Find $p (4) and p (- 2)$ for the function $p (x) = 2 x^{3} - x^{2} + 5 x - 7$ .

Short Answer

Expert verified

The value of $p (4) = 125 and p (- 2) = - 37$ .

Step by step solution

01

Step 1. Write down the given information.

The given function is $p (x) = 2 x^{3} - x^{2} + 5 x - 7$ .

02

Step 2. Calculation.

Evaluating $p (4) and p (- 2)$ by plugging $x = 4 and x = - 2$ in given function $p (x) = 2 x^{3} - x^{2} + 5 x - 7$ .

$\begin{matrix} p (x) = 2 x^{3} 鈭� x^{2} + 5 x 鈭� 7 .... (Given) \\ p (4) = 2 {(4)}^{3} 鈭� {(4)}^{2} + 5 (4) 鈭� 7 \\ = 125 \\ Now, p (鈭� 2) = 2 {(鈭� 2)}^{3} 鈭� {(鈭� 2)}^{2} + 5 (鈭� 2) 鈭� 7 \\ = 鈭� 37 \end{matrix}$

03

Step 3. Conclusion.

The value of $p (4) = 125 and p (- 2) = - 37$ .

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