Q49. The graph of the polynomial func... [FREE SOLUTION]

Chapter 7: Q49. (page 351)

The graph of the polynomial function $f (x) = a x (x - 4) (x + 1)$ passes through the point $(5, 15)$ . Find the value of $a$ .

Short Answer

Expert verified

The value of $a = \frac{1}{2}$ .

Step by step solution

Step 1. Write down the given information.

It is given that the graph of the polynomial function $f (x) = a x (x - 4) (x + 1)$ passes through the point $(5, 15)$ . Therefore, the point $(5, 15)$ will satisfy,

$f (x) = a x (x - 4) (x + 1) . . . . (1)$

Step 2. Calculation.

Since the graph of the polynomial function $f (x) = a x (x - 4) (x + 1)$ passes through the point $(5, 15)$ . Therefore, the point $(5, 15)$ will satisfy $f (x) = a x (x - 4) (x + 1)$ .

$\begin{matrix} 15 = a (5) ((5) 鈭� 4) ((5) + 1) \\ 15 = 30 a \\ a = \frac{1}{2} \end{matrix}$

Step 3. Conclusion.

The value of $a = \frac{1}{2}$ .

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91影视

The graph of the polynomial function $f (x) = a x (x - 4) (x + 1)$ passes through the point $(5, 15)$ . Find the value of $a$ .

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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91影视

The graph of the polynomial function fx=axx-4x+1 passes through the point 5,15. Find the value of a.

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

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Mechanics Maths

Decision Maths

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

The graph of the polynomial function $f (x) = a x (x - 4) (x + 1)$ passes through the point $(5, 15)$ . Find the value of $a$ .