Chapter 1.3 Algebraic expressions

# Stanley ocken m19500 precalculus chapter 13 algebraic

• Notes
• 26

This preview shows page 24 - 26 out of 26 pages.

Stanley Ocken M19500 Precalculus Chapter 1.3: Algebraic expressions

Subscribe to view the full document.

Welcome Algebraic Expressions Simplified sums Greatest common factor Factoring Exercises Quiz Review Quiz Review Example 1: Convert each polynomial to standard form: x 2 + 2 x 3 + 6 x 2 + 5 3 x 2 + 5 x 3 + 2 x 2 + 7 x - 1 + 8 x 3 x 2 y 2 x + 3 x 2 y 3 + 5 xyxyx - y 3 x 2 x 3 y 2 + 2 x 2 y 3 Example 2: Rewrite 3 x 2 - 4 x 5 - 7 x 3 + 2 x 5 + 777 + 2 x 5 in standard form. Example 3: Rewrite each polynomial in standard form 3 x 3 + 4 x 3 3 x 2 + 4 x 3 4 xyx + 7 x 2 y. 4 xyx + 7 yxy + 12 x 2 y Example 5: Rewrite as a simplified sum: ( x + y ) + (2 x - 3 y ) . Example 6: Rewrite as a simplified sum: ( x + y ) - (2 x - 3 y ) . Example 7: Rewrite as a simplified sum: 3( x 3 + 3 x + 1) - 5(2 x 3 - 7 x 2 + 2) . Example 8: Rewrite the product (2 x + 3)( x 2 - 5 x + 4) as a standard form polynomial. Example 9: Use ( A + B ) 2 = A 2 + 2 AB + B 2 to find and simplify (3 x - 4 y ) 2 . Example 10: Rewrite 4( a + b ) 2 - 3( a + c ) 2 as a simplified sum. Example 11: Use A 2 - B 2 = ( A + B )( A - B ) to simplify ( x 2 + 1) 2 - ( x 2 - 1) 2 . Example 12: Factor each of the following completely: 20 1000 4 x + 6 y 60 x + 108 y. Stanley Ocken M19500 Precalculus Chapter 1.3: Algebraic expressions
Welcome Algebraic Expressions Simplified sums Greatest common factor Factoring Exercises Quiz Review Example 13: Find the GCF of 200 , 216, and 180. Example 14: Find the GCF of 81 and 64 . Example 15: Find the GCF of 360 , 450 , and 1500 . Example 16: Find the GCF of the 3 monomials x 3 y 4 , x 2 y 6 z 2 , and xy 8 z 4 . Example 17: Factor 10 x 5 y 2 + 20 x 2 y 3 z + 30 x 7 y 5 z 3 . Example 18: Factor 60 x 2 y 5 + 108 x 3 y 4 + 120 x 8 y completely. Example 19: Factor x 2 + 7 x + 12 . Example 20: Factor x 2 - 5 x - 50 . Example 21: Factor 4 x 3 - 20 x 2 - 200 x . Example 22: Factor 60 x 2 y 3 z 2 + 120 x 2 y 3 z + 60 x 2 y 3 . Example 23: Factor 12 x 1 / 2 - 36 x - 1 / 2 + 24 x - 3 / 2 . Example 24: Factor 40( x - 1) 3 (2 x + 1) 4 - 24( x - 1) 4 (2 x + 1) 3 . Stanley Ocken M19500 Precalculus Chapter 1.3: Algebraic expressions

{[ snackBarMessage ]}

###### "Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern