Adding & Subtracting
(3x^2 + 5x - 2) + (4x^2 - 3x + 6)
7x^2 + 2x +4
2x(3x^2)
6x^3
Standard form of 2x + 3 + 3x^2
3x^2 + 2x +3
Name for three terms
Trinomial
GCF of 6x^2 + 9
3
(2x^3 + x^2) - (3x^3 + 4x)
*Must write in standard form!
-x^3 + x^2 - 4x
x^3 (2x^2 + x - 4)
2x^5 + x^4 - 4x^3
Degree of 7x^4 + 3x^3 +2x +1
4
Name for degree of 1
linear
GCF of 24x^7 + 36x^6
12x^6
(4x^2 - 2x + 1) + (3x^2 - 1)
7x^2 - 2x
(x+4)^2
x^2 + 8x +16
Standard form for x^2 - 2x^3 + 3 - 7x
Name the polynomial 4x^2 - 5 by number of terms
Binomial
GCF of 10x^4 + 35x^3 + 15
5
(4x^5 + 3x^3 + 7x - 2) + (6x^4 + 5x^2 + 2x + 6)
*Must write in standard form!
4x^5 + 6x^4 + 3x^3 + 9x + 4
(2x-3)(x+5)
2x^2 + 7x -15
Degree of 2 x^2 y^4 z
7
Name the polynomial 3x^3 + 4x - 2 by degree
Cubic
Find the GCF and write in standard form (2x^3 + 8x^2)
2x^2 (x + 4)
( 7x^3 - 3x^2 + 4x) - (5x^3 + 2x^2 - x - 2)
*Must write in standard form!
2x^3 - 5x^2 + 5x + 2
(x^2 + 2x + 4) (x - 3)
x^3 - x^2 - 2x -12
Standard form AND degree of
4x^2 - 3x +5x^4 + 7x ^7 - 2
7x^7 + 5x^4 + 4x^2 - 3x - 2
Degree: 7
Name 6x^2 - 4x + 8 by degree AND terms
quadratic trinomial
Find the GCF and write in factored form (4x^4 + 8x^3 +24x^2 + 48x)
4x (x^3 + 2x^2 + 6x + 12)