Polynomial Names
What is the degree of this polynomial?
3x7+4x5-2x2+8
7
(9x + 7) + (8x + 3)
16x+10
(3x + 2) - (4x + 7)
-x - 5
5x(2x – 7)
10x2-35x
(x+3)(x-3)
x2-9
What is the name of a 4th degree polynomial?
Quartic
(2x2 + 3x - 1) + (-4x2 - 5x + 1)
-2x2-2x
(3x2 + 6x + 8) - (2x2 - 4x + 1)
x2+10x+7
(x + 4)(2x - 6)
x2+2x-24
(x+4)2
x2+8x+16
Name the polynomial by its degree and number of terms: 4x3+2x2
Cubic binomial
(3x2 + 7x + 4) + (6x2 – 9x - 1)
9x2-2x+3
(3x2 + 7x + 4) - (6x2 – 9x - 1)
-3x2+16x+5
(3x - 2)(7x – 9)
21x2-41x+18
(2x-5)(2x+5)
4x2-25
Name the polynomial by degree and number of terms:
-6x2+5x-9
Quadratic Trinomial
(7x3 + 4x – 1) + (2x2 –x)
7x3+2x2+3x-1
(7x3 + 4x – 1) - (2x2 –x)
7x3-2x2+5x-1
(x+3)(2x2+4x-5)
2x3+10x2+7x-15
(x - 6)2
x2-12x+36
What are the names (in order) of the first six degrees of polynomials (starting with degree = 0)?
Constant, Linear, Quadratic, Cubic, Quartic, Quintic
(-a3 + 2a – 8) + (4a4+2a3-3a+7)
4a4+a3-a-1
(-a3 + 2a – 8) - (4a4+2a3-3a+7)
-4a4-3a3+5a-15
(2x - 7)(3x2 - x + 5)
6x3-23x2+17x-35
(2x + 7)2
4x2+28x+49