The two ways we classify polynomials is by the number of terms and by degrees which is determined by ...
What is the highest exponent?
(6x + 1) + (-5x - 8)
What is x - 7?
4x(4x - 5)
What is 16x2 - 20x
The two methods for polynomial division
What is synthetic division and long division?
Type of polynomial with two algebraic terms
What is a binomial?
(-8k5 - 5) - (-6k5 + k3 - 5)
What is -2k5 - k3
(4m + 1)(-8m - 8)
What is -32m2 - 40m - 8
Using long division:
(2x3-5x2-8x+15) divided by (x-3)
What is 2x2+x-5
Alternate term for a first degree polynomial
What is a linear polynomial
(4x4 + 1) + (-x4 + 4x3 - 5x - 4)
What is 3x4 + 4x3 - 5x - 3
(k - 7)(3k2 + 5k - 2)
What is 3k3 - 16k2 - 37k + 14
(3b2 + 28b - 20) divided by (b + 10)
What is 3b - 2
Trinomials have this many terms
(8x5 + 5x4 + 5x3 - 4x) - (4x5 - 3x3 - 6x)
What is -12x5 + 5x4 + 8x3 + 2x
(-6x2 - 3x + 4)(-2x2 - 4x - 4)
What is 12x4 + 30x3 + 28x2 - 4x - 16
Using Synthetic Division:
(2x3-5x2-x+3) divided by (x+3)
What is 2x2-11x+32+(-93/x+3)
A term to the power of 4, or fourth degree is also known as ...
What is a quartic polynomial?
(-3v4 + 5v3 + 3v - 5) - (-7v4 + 7v3 + 3v + 6)
What is 4v4 - 2v3 - 11
(-3v2 + 3v + 4)(-5v2 + 3v + 7)
What is 15v4 - 24v3 - 32v2 + 33v + 28
(2n3 - 6n2 - 26n + 70) divided by (2n - 8)