Show:
Terminology
Adding
Subtracting
Distributive Property
FOIL
100
A polynomial with 2 terms
What is a binomial?
100
(5p^2 − 3) + (2p^2 − 3p^3)
−3p^3 + 7p^2 − 3
100
(a^3 − 2a^2) − (3a^2 − 4a^3)
5a^3 − 5a^2
100
8x(6x + 6)
48x^2 + 48x
100
(n-2)(n-9)
(n^2)-11n+18
200
An expression with more than 3 terms.
What is a polynomial?
200
(4 + 2n^3) + (5n^3 + 2)
7n^3 + 6
200
(4n − 3n^3) − (3n^3 + 4n)
−6n^3
200
10a(a^2 − 10a)
10a^3 -100a^2
200
(c+8)(3c-4)
(3c^2)+20c-32
300
the number 7 in the polynomial (3x^3) + 2x + 7
What is the constant?
300
(5a^3+6a^2 -2) + (3a^3 -2a^2 +2)
8a^3 +4a^2
300
(3a^2 + 1) − (4 + 2a^2)
a^2 − 3
300
3y^2(4y-7)
13y^3 - 21y^2
300
(5y-8)(3y+6)
(15y^2)+6y-48
400
2 in the polynomial (3x^2) + 5x - 1
What is the degree of the polynomial?
400
(−4k^4 + 14 + 3k^2) + (−3k^4 − 14k^2 − 8)
−7k^4 − 11k^2 + 6
400
(3 − 6n^5 − 8n^4) − (−6n^4 − 3n − 8n^5)
2n^5 − 2n^4 + 3n + 3
400
6m^2(2m^2+4m-3)
12m^4+24m^3-18m^2
400
(r+9)(r-8)
(r^2)+r-72
500
The leading coefficient in the polynomial (34x^3)+ (12x^2) + (3x) + 1
What is 34?
500
(−x^4 + 13x^5 + 6x^3) + (6x^3 + 5x^5 + 7x^4)
18x^5 + 6x^4 + 12x^3
500
(8n − 3n^4 + 10n^2) − (3n^2 + 11n^4 − 7)
−14n^4 + 7n^2 + 8n + 7
500
6a^3(-4a^3+a^2-7)
-24a^6+6a^5-42a^3
500
(s-5)(8s-6)
(8s^s)-46s+30