/*! 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} Q. 422 Use the Zero Product Property in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 422 (page 1069)

Use the Zero Product Property in the following exercises to solve.

(a-3)(a+7)=0

Short Answer

Expert verified

The solutions of the given expression area=3and-7.

Step by step solution

01

Step 1. Given and explanation.

We have (a+3)(a-7)=0.

We know that the zero product property states that if a脳b=0, then either of the factors, both are equal to zero.

So putting them equal to zero will give us the values.

02

Step 2. Evaluating the values.

We have (a-3)(a+7)=0.

Putting them equal to zero gives us,

  1. a-3=0a=3
  2. a+7=0a=-7

This shows that values are3and-7.

03

Step 3. Check the solution.

We will check the solution by putting the value of the solution in the equation separately. If the equation satisfies, our answer is right.

  1. When a=3
    (3-3)(3+7)=0(0)(10)=00=0
    Hence satisfied.
  2. When a=-7
    (-7-3)(-7+7)=0(-10)(0)=00=0
    Hence satisfied.

Thus our calculations are right.

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

Simplify:

  1. (6-37)(3+47)
  2. (x3-2)(x3-3)

Divide the polynomial by the binomial.

125y3-64梅5y-4

Solve16y2=32y3+2y

In the following exercises, factor the greatest common factor from each polynomial.

21pq2+35p2q2-28q3

In the following exercises, solve each rational inequality and write the solution in interval notation.

12-4x2鈮�1x
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics 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.