5.10 Segment 1 Honors Project by A Cotto

5.10 Segment 1 Honors Project by A Cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz Made by: Andrea Iturrino-Cotto en-us 2016-10-21 13:41:04 UTC 2025-09-25 14:28:20 UTC hello@padlet.com Task#1 andrea_iturrino_cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/132340456 1.Factor: x²+64
(x+8i)(x-8i)
Check Work:
(x+8i)(x-8i)=x²+64
x²+8i-8i-64i²=x²+64
x²-64i²=x²+64
x²+64=x²+64

2.Factor: 16x²+49
(4x+7i)(4x-7i)
Check Work:
(4x+7i)(4x-7i)=16x²+49
16x²-28xi+28xi-49i²=16x²+49
16x²-49i²=16x²+49
16x²+49=16x²+49

3.Find the Product of (x+9i)²
(x+9i)(x+9i)
x²+9xi+9xi+81i²
x²+18xi-81

4.Find the Product of (x-2i)²
(x-2i)(x-2i)
x²-2xi-2xi+4i²
x²-4xi-4
5.Find the Product of (x+(3+5i))
(x+3+5i)(x+3+5i)
x²+3x+5xi+3x+9+15i+5xi+15i+25i²
x²+3x+10xi+30i-16]]> 2016-10-21 13:44:39 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/132340456 Task#2 andrea_iturrino_cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/132348012 1.Expand (x+2)^6
x^6+12x^5+60x^4160x³+240x²+192x+64
2.Expand (x-4)^4
x^4-4x³•4+6x²4²-4x•4³-4^4
=x^4-16x³+96x²-256x-256
3.Expand (2x+3)^5
2x^5+30x^4+180x³+540x²+810x+243
4.Expand (2x-3y)^4
2x^4-24x³y+108x²y-216yx+81
5. In the expansion of (3a + 4b)^8, which of the following are possible variable terms?
a^5b³,b^8,a^4b^4,ab^7
These variable terms are possible because their degrees add up to 8 which is the power which (3a+4b) was raised to.]]> 2016-10-21 14:05:23 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/132348012 Task#3 andrea_iturrino_cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/132715599 1.f(x)=x^4+21x²-100
=x^4-4x²+25x²-100
=x²(x²-4)+25(x²-4)
=(x²+25)(x²-4)
(x+5i)(x-5i)(x+2)(x-2)
How many roots? 4
What type are they? 2 real & 2 complex
What are they? -5i, 5i, -2, 2

2.f(x)= x³-5x²-25x+125
How many roots? 3
What type? 3 real
What are they? 5, 5, -5

3.Part 1: Zeroes w/ possible multiplicities
(x=-5)²; (x=-1)³; (x=4)^1; (7,0)^1
Part 2: Possible factored form of the polynomial
f(x)=(x+5)²(x+1)(x-4)³(x-7)

4.f(x)= (x + 8)³(x + 6)²(x + 2)(x − 1)³(x − 3)^4(x − 6)

]]> 2016-10-24 14:37:21 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/132715599 Task#4 andrea_iturrino_cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/133024935 1.

(x+5)(x)+(x+2)(x+3)/(x+3)(x+5)
x²+5x+x²+5x+6/x²+8x+15
2x²+10x+6/x²+8x+15
2(x²+5x+3)/x²+8x+15
x≠-3, -5

2.

x+4/(x+3)(x+2)•x+3/(x+4)(x-4)
1/(x+2)((x-4)
x≠-2,-3, -4, 4
3.

2/(x+3)(x-3)-3x/(x-2)(x-3)
2x-4-3x²+9x/(x+3)(x-3)(x-2)
-1(3x²-11x-4)/(x+3)(x-3)(x-2)
x≠-3, 3, 2
4.(x+4)/(x²-5x+6)÷(x²-16)/(x+3)
(x+4)/(x-2)(x-3)•(x+3)/(x+4)(x-4)
x+3/(x-2)(x-4)(x-3)
x≠2, 3, -3

5.Dividing integers are just dividing fractions, whereas, dividing rational expression involves dividing polynomials which have to be factored before the expressions can be simplified. Both, however, involve the method keep, change, flip.

]]> 2016-10-25 14:38:50 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/133024935 Task#5 andrea_iturrino_cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/133341211 Dear Senator Jessica Carter,
Being an honors student my whole life, I can gladly and proudly say that honors courses are extremely necessary for the survival of creative thinking and an outstanding work ethic of the youth of our nation. Learning through an honors curriculum engages students into thinking innovatively and applying what the learn in the classroom into the real world. Many students can benefit from the funding of honors courses as mentioned in this letter.
With respect,
Andrea Iturrino-Cotto

]]> 2016-10-26 14:38:16 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/133341211 Graph andrea_iturrino_cotto https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/133510685 Click it to see it better]]> 2016-10-27 02:03:56 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/133510685 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/272435348 2018-08-09 02:32:38 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/272435348 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/273644262 2018-08-17 03:16:28 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/273644262 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562024 2019-02-28 18:30:32 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562024 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562034 2019-02-28 18:30:33 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562034 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562039 2019-02-28 18:30:34 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562039 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562042 2019-02-28 18:30:35 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562042 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562179 2019-02-28 18:30:47 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562179 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562188 2019-02-28 18:30:48 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562188 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562195 2019-02-28 18:30:49 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562195 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562200 2019-02-28 18:30:49 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562200 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562206 2019-02-28 18:30:49 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/336562206 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195194 2019-04-06 22:53:52 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195194 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195197 2019-04-06 22:53:53 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195197 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195225 2019-04-06 22:54:10 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195225 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195228 2019-04-06 22:54:13 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/349195228 Task#2 24yunjiin https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/614044961 1.Expand (x+2)^6
x^6+12x^5+60x^4160x³+240x²+192x+64
2.Expand (x-4)^4
x^4-4x³•4+6x²4²-4x•4³-4^4
=x^4-16x³+96x²-256x-256
3.Expand (2x+3)^5
2x^5+30x^4+180x³+540x²+810x+243
4.Expand (2x-3y)^4
2x^4-24x³y+108x²y-216yx+81
5. In the expansion of (3a + 4b)^8, which of the following are possible variable terms?
a^5b³,b^8,a^4b^4,ab^7
These variable terms are possible because their degrees add up to 8 which is the power which (3a+4b) was raised to.]]> 2020-06-06 08:52:57 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/614044961 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/647115047 2020-07-03 21:08:46 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/647115047 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/774193063 2020-09-24 00:53:26 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/774193063 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/774193139 2020-09-24 00:53:28 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/774193139 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/826195230 2020-10-13 18:28:05 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/826195230 https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/1471834661 2021-04-29 02:16:15 UTC https://padlet.com/andrea_iturrino_cotto/t3w85vgms5zz/wish/1471834661