Exploring/Adding Polynomials
What are the three Properties of Numbers? Show what they do with this expression: 5+x2-4+5x2-3x
Commutative: x2+5x2-3x+5-4
Associative: (x2+5x2)+(-3x)+(5-4)
Distributive: (1+5)x2 + (-3)x + (5-4)
When subtracting two polynomials, how do you change the problem to make it an addition?
Do the opposite of the second polynomial because addition is the opposite of subtraction.
Show 32 x 37 in expanded form
(3x3)(3x3x3x3x3x3x3)
Show 75/73 in expanded form with an answer
(7x7x7x7x7)/(7x7x7) = (7x7)/1 or 72
What does FOIL stand for?
First
Outside
Inside
Last
Simplify this expression: -2x2 + 5x - 6x + 5 - 2x2
-4x2 - x + 5
(p2 - 2p + 5) - (2p2 + p - 4)
(p2 - 2p + 5) + (-2p2 - p + 4)
-p2 - 3p + 9
When multiplying numbers with exponents, what do you do to the exponents?
What do the exponents do when two numbers are dividing?
(3m)(-2m3)
-6m4
If each side of a square is 4x, what is the perimeter?
4x + 4x + 4x + 4x=
16x
(5x2 + 3p + 2) - (2x2 + p - 4)
(5x2 + 3p + 2) + (-2x2 - p + 4)=
3x2 + 2p + 6
Why can't you simplify 46 x 54?
Because the base numbers are different
(3 x 108)(2 x 107) Show in Scientific Notation
(1.5 x 10)
What is the area of a rectangle if the length is 4a and the width is (2a + 4)
4a(2a+4)=
8a2+ 16a
What is the perimeter of a triangle with sides of 5m-3, 2m, and 3m+1?
5m + 2m + 3m + (-3) + 1=
10m-2
(3x3 - 1) - (5x2 - 2x - 4)
(3x3 - 1) + (-5x2 + 2x + 4)
3x3 - 5x2 + 2x + 3
Show your answer in Scientific Notation: (3 x 105)(5 x 107)
(1.5 x 1013)
(-9)0
1
2k(5k2 - 1)
10k3 - 2k
(3n2 + 3n + 4) + (n2 - n + 5)
(3n2 + n2) + (3n - n) + (4+5) =
4n2 + 2n + 9
(-3x3 - 2x2 + 5) - (2x3 + 2x + 1)
(-3x3 - 2x2 + 5) + (-2x3 - 2x - 1)
-5x3 - 2x2 - 2x + 4
123m x 123t
123(m+t)
7-1
and
8-4
1/71 or 1/7
and
1/84
(3x+3)(5x-2)
(3x)(5x)+(3x)(-2)+(5x)(3)+(3)(-2) =
15x2+ (-6x) + 15x + (-6)
15x2 + 9x + (-6)