Vocabulary
The sum of two monomials
What is a binomial?
Is 5n3 + nq3 a polynomial? If yes, what type?
Yes, binomial
(6s+5t)+(4t+8s)
14s+9t
(6x^2)(5x)
30x^3
(x+4)(x-2)
x^2+2x-8
The sum of three monomials
What is a trinomial?
Is d+3d^c a polynomial? If yes, what type?
Not a polynomial
(6k^2+2k+9)+(4k^2-5k)
10k^2-3k+9
(x^2yz)(x^2y^4)
x^4y^5z
(a+3)(a-2)
a^2+a-6
The sum of two or more monomials
What is a polynomial?
Rewrite in standard form.
11t+2t^2-3+t^5
t^5+2t^2+11t-3
(y^2-10xy)-(2y^2+3xy)
-y^2-13xy
3(4x^2-3)
12x^2-9
(4m+2)(4m+5)
16m^2+28m+10
The terms are written from greatest degree to least degree
What is standard form?
State the degree and leading coefficient of
-9b^2+10b-b^6
Degree: 6
Leading Coefficient: -1
(4x^3+5x+2)-(1+2x-3x^2)
4x^3+3x^2+3x+1
2x(x+6)
2x^2+12x
(5b-6)(5b^2+4b-2)
25b^3-10b^2-34b+12
The greatest degree of any term in a polynomial
What is degree?
State the degree and leading coefficient of
10x^3y+x^3-3y+2
Degree: 4
Leading Coefficient: 10
(m^2-3)+(2m^2+4)-(4m^2+2)
-m^2-1
3x^2(4x^2-2x+3)
12x^4-6x^3+9x^2
(8n^2+n-4)(6n^2-6n-4)
48n^4-42n^3-62n^2+20n+16