Explanation Given Information: The expressionis, ( p − 3 ) 3 Formula used: The multiplication of binomials by FOIL method can be calculated as follows, Step1: Multiply the First two terms of binomial to find the first term of the product. Step2: Multiply the Outer terms and Inner terms of the binomial then add them to obtain the middle term of the product. Step3: Multiply the Last two terms of the binomial to obtain the last term of the product. FOIL method: The FOIL stand for First-Outer-Inner-Last. The FOIL is applied for the binomial is, ( a + b ) ( c + d ) = a c + a d + b c + b d Here, a , b , c and d are the real number. The Product rule states that for any real numbers a and b , and integers m and n , a m ⋅ a n = a m + n Distributive property states that for any real number a , b and c , ( a ⋅ b ) ⋅ c = a ⋅ ( b ⋅ c ) The meaning of exponents, For any real number a and integer n , a n = a ⋅ a ⋅ … a ( n times ) . Calculation: Consider the expression. ( p − 3 ) 3 Use the meaning of exponents, ( p − 3 ) 3 = ( p − 3 ) ( p − 3 ) ( p − 3 ) Use the product rule and FOIL to multiply ( p − 3 ) ( p − 3 ) . F : p ( p ) = p 2 O : p ( − 3 ) = − 3 p I : − 3 ( p ) = − 3 p L : − 3 ( − 3 ) = 9 Now, add the monomials. As, ( p − 3 ) ( p − 3 ) = p 2 − 3 p − 3 p + 9 Add like terms

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

See similar textbooks

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Videos

Question

Chapter 4.5, Problem 88E

To determine

To calculate: The product of polynomial (p−3)3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.5, Problem 87E

Chapter 4.5, Problem 89E

Students have asked these similar questions

Done Oli ○ Functions Composition of two functions: Domain and range Two functions 0 g 3 4 6 www-awy.aleks.com g and ƒ are defined in the figure below. 8 8 9 Domain of g Range of g Domain of f Range of f 0/5 Anthony Find the domain and range of the composition f.g. Write your answers in set notation. (a) Domain of fog: ☐ (b) Range of fog: ☐ Х Explanation Check 0,0,... Español © 2025 McGraw HillLLC. AIL Rights Reserved Terms of Use | Privacy Center Accessibility

Use the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0

It is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥

Chapter 4 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Prob. 3E Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 7E Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 9E Ch. 4.1 - Write each expression in exponential form. See...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The product of polynomial ( p − 3 ) 3 .

Solution Summary: The author calculates the product of polynomial (p-3)3 using the FOIL method.

Concept explainers

Videos

To calculate: The product of polynomial (p−3)3.

Want to see the full answer?

Chapter 4 Solutions