Homework Help is Here – Start Your Trial Now!
Math
Algebra
Explain what the student did wrong when factoring the given polynomials. 27x³ - 8 Paul = (3x)³ - 23 = (3x + 2) (9x² - 6x + 4) O Paul actually factored the polynomial correctly. Paul used the sum of two cubes formula. Paul tried to factor a prime polynomial. O Paul could have further factored the polynomial by factoring out the GCF. Paul used the difference of two cubes formula. Give the correct factorization. (If the expression is not factorable using integers, enter PRIME.)

Explain what the student did wrong when factoring the given polynomials. 27x³ - 8 Paul = (3x)³ - 23 = (3x + 2) (9x² - 6x + 4) O Paul actually factored the polynomial correctly. Paul used the sum of two cubes formula. Paul tried to factor a prime polynomial. O Paul could have further factored the polynomial by factoring out the GCF. Paul used the difference of two cubes formula. Give the correct factorization. (If the expression is not factorable using integers, enter PRIME.)

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
Problem 7WE
See similar textbooks
icon
Related questions
Question
Completely factor the following polynomial. Write PRIME if the polynomial is not factorable using the rational numbers. 4t² + 27
Transcribed Image Text:Completely factor the following polynomial. Write PRIME if the polynomial is not factorable using the rational numbers. 4t² + 27
Explain what the student did wrong when factoring the given polynomials. 27x³ 8 = = Paul (3x)3 - 23 (3x + 2) (9x² - 6x + 4) Paul actually factored the polynomial correctly. Paul used the sum of two cubes formula. Paul tried to factor a prime polynomial. Paul could have further factored the polynomial by factoring out the GCF. Paul used the difference of two cubes formula. Give the correct factorization. (If the expression is not factorable using integers, enter PRIME.)
Transcribed Image Text:Explain what the student did wrong when factoring the given polynomials. 27x³ 8 = = Paul (3x)3 - 23 (3x + 2) (9x² - 6x + 4) Paul actually factored the polynomial correctly. Paul used the sum of two cubes formula. Paul tried to factor a prime polynomial. Paul could have further factored the polynomial by factoring out the GCF. Paul used the difference of two cubes formula. Give the correct factorization. (If the expression is not factorable using integers, enter PRIME.)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS