Chapter 7: Q8. (page 350)

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

Short Answer

Expert verified

The value of $p (3) = 4 and p (- 1) = 12$ .

Step by step solution

Step 1. Write down the given information.

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

Step 2. Calculation.

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

$\begin{matrix} p (x) = x^{4} - 3 x^{3} + 2 x^{2} - 5 x + 1.... (Given) \\ p (3) = {(3)}^{4} - 3 {(3)}^{3} + 2 {(3)}^{2} - 5 (3) + 1 \\ = 4 \\ Now, p (- 1) = {(- 1)}^{4} - 3 {(- 1)}^{3} + 2 {(- 1)}^{2} - 5 (- 1) + 1 \\ = 12 \end{matrix}$

Step 3. Conclusion.

The value of $p (3) = 4 and p (- 1) = 12$ .

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

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Find p3andp-1 for the function px=x4-3x3+2x2-5x+1.

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