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Chapter 7: Q27. (page 350)

Find $p (4) and p (- 2)$ for the function $p (x) = 7 x^{2} - 9 x + 10$ .

Short Answer

Expert verified

The value of $p (4) = 86 and p (- 2) = 56$ .

Step by step solution

01

Step 1. Write down the given information.

The given function is $p (x) = 7 x^{2} - 9 x + 10$ .

02

Step 2. Calculation.

Evaluating $p (4) and p (- 2)$ by plugging $x = 4 and x = - 2$ in given function $p (x) = 7 x^{2} - 9 x + 10$ .

$\begin{matrix} p (x) = 7 x^{2} - 9 x + 10 .... (Given) \\ p (4) = 7 {(4)}^{2} - 9 (4) + 10 \\ = 86 \\ Now, p (- 2) = 7 {(- 2)}^{2} - 9 (- 2) + 10 \\ = 56 \end{matrix}$

03

Step 3. Conclusion.

The value of $p (4) = 86 and p (- 2) = 56$ .

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Most popular questions from this chapter

The maximum number of regions formed by connecting (n) points of a circle can be obtained by the function $f (n) = \frac{1}{24} (n^{4} - 6 n^{3} + 23 n^{2} - 18 n + 24)$ . What is the degree of this polynomial.

Complete each of the following.

Graph each function by making a table of values.
Determine consecutive values of x between which each real zero is located.
Estimate the x-coordinate at which the relative maxima and relative minima occur.

$f (x) = 2 x^{4} - 4 x^{3} - 2 x^{2} + 3 x - 5$

Complete each of the following.

Graph each function by making a table of values.
Determine consecutive values of x between which each real zero is located.
Estimate the x-coordinate at which the relative maxima and relative minima occur.

$f (x) = - 3 x^{3} + 20 x^{2} - 36 x + 16$

Determine consecutive values of x between which each real zero of each function is located. Then draw the graph.

$f (x) = x^{4} - 4 x^{2} + 2$

The number of cable TV systems after 1985 can be modeled by the function $C (t) = - 43.2 t^{2} + 1343 t + 790$ , where (t) represents the number of years since 1985. Graph this equation for the years 1985 to 2005.

See all solutions

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