STUDY! STUDY! STUDY! STUDY! STUDY! Review for test over polynomials: Add, subtract, multiply, divide, and name polynomials. STUDY! STUDY! STUDY! STUDY! STUDY!
4x Draw it out! – 5 Explain HOW to find the missing side: “Add the 2 given sides and… subtract that from the perimeter.” --- add the 2 sides: 2x + 7 + 3x – 4 5x + 3 --- subtract that from the perimeter: ( 9x – 2 ) – ( 5x + 3 ) Distribute the minus sign. 9x – 2 – 5x – 3 CLT 4x 2x + 7 3x – 4 ??? Perimeter is 9x – 2 – 5
Remove the parenthesis… NOTHING CHANGES! 5a + 8b + 4c + 2a + b – c CLT 7a + 9b + 3c
REMEMBER: The power stays the same! Combine Like Terms 9d2 REMEMBER: The power stays the same! + 13d + 16
Distribute the minus sign. 7n2 + 3n – 2 – 3n2 + 8n + 13 CLT 4n 2 + 11n + 11
n2 + 14n + 49 Area = length • width Both are the same! Write the parenthesis twice: ( n + 7 ) ( n + 7 ) First Outer Inner Last n2 CLT + 14n n2 + 14n + 49 + 7n + 7n + 49
20k3 – 6 2k3 Quadrilateral means… 7k3 + 4 four sided shape. DRAW IT OUT! Perimeter means… Add all sides. CLT 2k3 + 7k3 + 9k3 + 2k3 = 20k3 + 4 – 10 = – 6 Put them together… 20k3 – 6
SIX multiplications in all… a • 3a2 = 3a3 a • ( – a) = – a2 a • ( + 7) = + 7a – 4 • 3a2 = –12a2 – 4 • ( – a ) = + 4a – 4 • ( 7 ) = – 28 Combine like terms… 3a3 – 13a2 + 11a – 28
The formula is the same as a rectangle: Parallelogram is… 4-sided shape with… opposite sides parallel. The formula is the same as a rectangle: Area = base • height – 8p2 + 5p – 4 height ( ) 3p4 – 24p 6 + 15p 5 – 12p 4
4x + 3 A = l•w w = ― A l 24x2 + 18x 6x 24x2 + 18x 6x 6x 6x ??? Area is 24x2 + 18x Draw it out! A = l•w w = ― A l 24x2 + 18x 6x 4x + 3 24x2 + 18x 6x 6x
6w2 – 11w – 10 Product means… MULTIPLY! First Outer Inner Last 6w2 CLT
Descending order means… from highest to lowest power of x. highest power of x 5x 3y next power of x + 9x 2y 3 next power of x – 7xy 4 last term NO x + 3y 2
Remember: When you divide… subtract the exponents! 18x9 + 36x5 – 12x4 6x4 6x4 6x4 Remember: When you divide… subtract the exponents! 3x5 + 6x – 2 On the last term, the x 4’s divide out… NO x in the last term.
Remember: When you divide… subtract the exponents! 36x6 – 45x5 + 99x2 – 63x 9x 9x 9x 9x Remember: When you divide… subtract the exponents! 4x 5 – 5x 4 + 11x – 7 On the last term, the x ‘s divide out… NO x in the last term.
3x 3 3x 2y – 5xy – y + 7 3x 2 – 5x + 7 3x 3y2 – 5xy – 7 3x 2 – 5x 3x 2y2 – 5x2y
You would never plan to fail… so why would you fail to plan? STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY! STUDY!