Adding Polynomials
(3p^2-3)+(2p^2-3p^3)
-3p^3+5p^2-3
(a^3-2a^2)-(3a^2-4a^3)
5a^3-5a^2
(6v-2)(2v+3)
12v^2+14v-6
Are these like terms? Yes or No.
1) 2x and x2
2) 3x2 and 2x2
3) x3 and 3x3
1) No
2) Yes
3) Yes
TRUE or FALSE: When I add polynomials, I add the coefficient and I add the exponent? WHY?
FALSE - Do not add the exponents
(4+2n^3)+(5n^3+2)
7n^3+6
(4n-3n^3)-(3n^3+4n)
-6n^3
(2n+2)(6n+1)
12n^2+14n+2
What is the degree, leading coefficient, and # of Terms?
5x2-15x+10
Degree = 2
Leading Coefficient = 5
# of Terms = 3
What is the name of the method used to multiply a binomial by a binomial?
FOIL
(-4k^4+14+3k^2)+(-3k^4-14k^2-8)
-7k^4-11k^2+6
(3x^4-3x)-(3x-3x^4)
6x^4-6x
(6p+8)(5p-8)
30p^2-8p-64
Write the following polynomial in Standard Form
x3-30x-18-4x2
x3-4x2-30x-18
Find the following products:
1) x * x =
2) x2 * x =
3) x4 * x2 =
1) x2
2) x3
3) x6
(-x^4+13x^5+6x^3)+(6x^3+5x^5+7x^4)
18x^5+6x^4+12x^3
(3-6n^5-8n^4)-(-6n^4-3n-8n^5)
2n^5-2n^4+3n+3
(4p-1)(4p-1)
16p^2-8p+1
What is the degree, leading coefficient, and # of terms?
8v5+3x2
Degree = 5
Leading Coefficient = 8
# of Terms = 2
What are the names of Ms. Hunter's cats?
Reginald and Eloise
(13n^2+11n-2n^4)+(-13n^2-3n-6n^4)
-8n^4+8n
(8n-3n^4+10n^2)-(3n^2+11n^4-7)
-14n^4+7n^2+8n+7
(7r-6)(2r-4)
14r^2-40r+24
What is the degree, leading coefficient, and # of Terms?
7m4-52m3-28m2+67m+42
Degree = 4
Leading Coefficient = 7
# of Terms = 5Divide: (n2 - n - 80)/(n - 9)
n + 8 - 8/(n-9)