/*! 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 36 Find each product of the monomia... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 36

Find each product of the monomial and the polynomial. $$6 x(x+5)$$

Short Answer

Expert verified
The product of the monomial \(6x\) and the polynomial \((x+5)\) is \(6x^2 + 30x\).

Step by step solution

01

Identify the Monomial and Polynomial

The given monomial is \(6x\) and the polynomial is \((x+5)\). The task is to find the product of the monomial and polynomial.
02

Apply Distributive Property

The distributive property states that the product of a number and a sum is equal to the sum of the individual products of the number and each term. So, we multiply \(6x\) to each term inside the parenthesis, which results in \(6x * x + 6x * 5\).
03

Perform the Multiplication

Multiplying \(6x\) by \(x\) results in \(6x^2\). Then, multiply \(6x\) by \(5\) results in \(30x\). Therefore, the product of the monomial and the polynomial is \(6x^2 + 30x\).

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

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I wrote a number where there is no advantage to using scientific notation instead of decimal notation.

Find the absolute value: \(|-20.3| .\) (Section 1.3, Example 8)

In Exercises \(79-82,\) simplify each expression. $$\frac{6 x^{3}(3 x-1)+5 x^{2}(6 x-3)}{3 x^{2}}$$

In Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+4)^{2}\) and \((y+4)(y-4)\) by \(2 y\)

Exercises \(110-112\) will help you prepare for the material covered in the next section. In each exercise, perform the long division without using a calculator, and then state the quotient and the remainder. $$1 9 \longdiv { 4 9 4 }$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

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.