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

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

Step 3. Conclusion.

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Probability and Statistics

Statistics

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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

Geometry

Decision Maths

Probability and Statistics

Statistics

Mechanics Maths

Applied Mathematics

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 $a$ .