Degree and Types of Polynomials
4y + 7
What is a first degree polynomial
(3x+5) + (4x+1)
7x + 6
(24x^7y^7)/(40xy^6)
(3x^6y)/(5)
(x+2)(x+3)
x2+5x+6
These two types of exponents prevent an expression from being a polynomial.
What are negative and fractional exponents (roots)?
3x
What is a first degree polynomial
(6x-7) + (4x+5)
10x-2
(2x^5y^3)/(x^3y^2)
2x^2y
(x-7)(x+2)
x2-5x-14
The general case of (x + y)(x + y)
x2+2xy+y2
4x2 + 5x + 6
What is a second degree polynomial
(5x2-4x+7) - (8x2 -2x-2)
-3x2 -2x +9
(6x^3y^2+8x^2y)/(2xy)
3x^2y+4x
(2x+4)(x-8)
2x2-12x-32
The GCF of 64x2y5+32x3y3+88xy4
8xy3(8xy2+4x2+11y)
We get this type of polynomial when we multiply (x+6)(x-8).
What is a trinomial?
(5x3+4x+7-x2) - (2x-6x2+x4)
-x4+5x3+5x2+2x+7
(-24x^5+42x^4+48x^3)/(6x^2)
-4x^3+7x^2+8x
(x-4)2
x2-8x+16
(a+3)2-(6x+9)
a2
This type of polynomial is the result of the following product: (x+2)(x-2)
What is a binomial?
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
4x3 + x2 – 3x + 1
(-3x^2-18x)/(-3)
x^2+6x
DAILY DOUBLE (this one is HARD!) (2x3+3)(3x2 − 4x + 7)
6x5 − 8x4 + 14x3 + 9x2 − 12x + 21
Simplify and multiply (Remember order of operations):
(7x3 +8x2-10x3+9x+3x3-3x-6x2)(x+1)
2x3+8x2+6x