/*! 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 99 Explain how to multiply two bino... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 99

Explain how to multiply two binomials using the FOIL method. Give an example with your explanation.

Short Answer

Expert verified
The FOIL method is a way to multiply two binomials and the set of instructions describe this in detail by first introducing the concepts of binomial and FOIL, then walking through each step of the FOIL method and finally, simplifying the expression. An important detail, the letters a, b, x, y in the explanation are placeholder values and can represent any numerical or variable values.

Step by step solution

01

Introduction to Binomials & FOIL method

A binomial is a polynomial with two terms. For example, \( (a + b) \) and \( (x + 2) \) are binomials. The FOIL method stands for First, Outer, Inner, Last. It's a mnemonic for how to multiply two binomials.
02

Multiply the First terms

The first step in the FOIL method is to multiply the first terms in each binomial. If our binomials are \( (x + a)(y + b) \), we multiply \( x \) and \( y \) together.
03

Multiply the Outer terms

Next, multiply the outer terms together. The outer terms are the first term in the first binomial and the second term in the second binomial. In our example this means multiplying \( x \) and \( b \)
04

Multiply the Inner Terms

Now, multiply the inner terms together. The inner terms are the second term in the first binomial and the first term in the second binomial. Here you multiply \( a \) and \( y \) together.
05

Multiply the Last terms

The last step in the FOIL method is to multiply the last terms in each binomial together. So in this case, that would mean multiplying \( a \) and \( b \)
06

Simplify

Finally, combine like terms and simplify if possible. In general, this results in a trinomial.

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. The model \(P=-0.18 n+2.1\) describes the number of pay phones, \(P,\) in millions, \(n\) years after \(2000,\) so I have to solve a linear equation to determine the number of pay phones in 2010

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although I can solve \(3 x+\frac{1}{5}=\frac{1}{4}\) by first subtracting \(\frac{1}{5}\) from both sides, I find it easier to begin by multiplying both sides by \(20,\) the least common denominator.

In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and \(2012 .\) Also shown is the percentage of households in which a person of faith is married to someone with no religion. GRAPH CAN'T COPY. The formula $$I=\frac{1}{4} x+26$$ models the percentage of U.S. households with an interfaith marriage, \(I, x\) years after \(1988 .\) The formula $$N=\frac{1}{4} x+6$$ models the percentage of U.S. households in which a person of faith is married to someone with no religion, \(N, x\) years after \(1988 .\) Use these models to solve Exercises \(107-108\). a. In which years will more than \(33 \%\) of U.S. households have an interfaith marriage? b. In which years will more than \(14 \%\) of U.S. households have a person of faith married to someone with no religion? c. Based on your answers to parts (a) and (b), in which years will more than \(33 \%\) of households have an interfaith marriage and more than \(14 \%\) have a faith/no religion marriage? d. Based on your answers to parts (a) and (b), in which years will more than \(33 \%\) of households have an interfaith marriage or more than \(14 \%\) have a faith/no religion marriage?

This will help you prepare for the material covered in the next section. Simplify and express the answer in descending powers of \(x\) : $$2 x\left(x^{2}+4 x+5\right)+3\left(x^{2}+4 x+5\right)$$

Explain how to solve \(x^{2}+6 x+8=0\) using factoring and the zero-product principle.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Discrete 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.