Chapter 7: Q29. (page 350)

Find $p (4) and p (- 2)$ for the function $p (x) = \frac{1}{8} x^{3} - \frac{1}{4} x^{2} - \frac{1}{2} x + 5$ .

Short Answer

Expert verified

The value of $p (4) = 7 and p (- 2) = 4$ .

Step by step solution

Step 1. Write down the given information.

The given function is $p (x) = \frac{1}{8} x^{3} - \frac{1}{4} x^{2} - \frac{1}{2} x + 5$ .

Step 2. Calculation.

Evaluating $p (4) and p (- 2)$ by plugging $x = 4 and x = - 2$ in given function $p (x) = \frac{1}{8} x^{3} - \frac{1}{4} x^{2} - \frac{1}{2} x + 5$ .

$\begin{matrix} p (x) = \frac{1}{8} x^{3} - \frac{1}{4} x^{2} - \frac{1}{2} x + 5 .... (Given) \\ p (4) = \frac{1}{8} {(4)}^{3} - \frac{1}{4} {(4)}^{2} - \frac{1}{2} (4) + 5 \\ = 7 \\ Now, p (- 2) = \frac{1}{8} {(- 2)}^{3} - \frac{1}{4} {(- 2)}^{2} - \frac{1}{2} (- 2) + 5 \\ = 4 \end{matrix}$

Step 3. Conclusion.

The value of $p (4) = 7 and p (- 2) = 4$ .

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Find $p (4) and p (- 2)$ for the function $p (x) = \frac{1}{8} x^{3} - \frac{1}{4} x^{2} - \frac{1}{2} x + 5$ .

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Find p4andp-2 for the function px=18x3-14x2-12x+5.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Find $p (4) and p (- 2)$ for the function $p (x) = \frac{1}{8} x^{3} - \frac{1}{4} x^{2} - \frac{1}{2} x + 5$ .