/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 Find each product. $$(2 x-3)\l... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 17

Find each product. $$(2 x-3)\left(x^{2}-3 x+5\right)$$

Short Answer

Expert verified
The product is \(2x^3 - 9x^2 + 19x - 15\)

Step by step solution

01

Distribute the terms of the binomial to the trinomial

Multiply the first term of the binomial \((2x)\) with each term of the trinomial \((x^2, -3x, +5)\) independently and then, repeat the process with the second term of the binomial \((-3)\). This will give us: \(2x(x^2) - 2x(3x) + 2x(5) - 3(x^2) + 3(3x) - 3(5)\). From here just simplify each of the terms.
02

Simplify the multiplication

After simplifying the multiplication we get: \(2x^3 - 6x^2 + 10x - 3x^2 + 9x - 15\) (Remember both \(x^2\)'s are negative and subtract to form a larger negative number).
03

Combine Like Terms

Combining the like term helps to simplify the expression. Here, combine both \(x^3\) , \(x^2\), \(x\), and constant terms separately. This gives us the following expression: \(2x^3 - 9x^2 + 19x - 15\)

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the intersection of the sets. $$\\{1,3,5,7\\} \cap\\{2,4,6,8,10\\}$$

Determine whether each statement in Exercises 43鈥�50 is true or false. $$-6>2$$

Using an example, explain how to factor out the greatest common factor of a polynomial.

$$\text { factor completely.}$$ $$x^{2 n}+6 x^{n}+8$$

Explain how to factor $$x^{3}+1$$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.