Classify Polynomials
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?
(5b4 + 4b2) - (4b4 + 7b2)
What is b4 - 3b2
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?
(-2v + 5) + (-4v2 - 6v + 7)
What is -4v2 - 8v + 12
(-8k5 - 5) - (-6k5 + k3 - 5)
What is -2k5 - k3
(4m + 1)(-8m - 8)
What is -32m2 - 40m - 8
In order to use synthetic division the binomial has to be this type of polynomial.
What is a first degree binomial?
Alternate term for a first degree polynomial
What is a linear polynomial
(4x4 + 1) + (-x4 + 4x3 - 5x - 4)
What is 3x4 + 4x3 - 5x - 3
(7w4 + 7w3 + 4) - (4w4 + 3w3 - 4)
What is 3w4 + 4w3 + 8
(k - 7)(3k2 + 5k - 2)
What is 3k3 - 16k2 - 37k + 14
This type of division works no matter how many terms the polynomial has and no matter what degree the polynomial is.
What is long division?
Trinomials have this many terms
(r3 - 3r2 - 2r + 4) + (-r3 + 2r - 5)
What is -3r2 - 1
(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
(3b2 + 28b - 20) divided by (b + 10)
What is 3b - 2
A term to the power of 5, or fifth degree is also known as ...
What is a quintic polynomial?
(3t5 + 5t4 - 3t - 5) + (3t5 + 5t4 + t + 2)
What is 6t5 + 10t4 - 2t - 3
(-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
What is the remainder when (2n3 - 6n2 - 26n + 70) is divided by (2n - 8)
What is -1