Vocab
Adding and Subtracting Polynomials
Dividing Polynomials
Multiplying Polynomials
100
The degree of this polynomial:
x3 - 7x2 + 4x5y2 - 19x7y
- 19x7y1
Add the exponents from the variables 7 + 1 = 8
Final Answer = 8
100
Add the Polynomials
(4x - 9) + (x + 4)
5x - 5
100
(16x^4y^3)/(8x^3y^3)
2x
100
-9xy^4(4xy^2-7)
-36x^2y^6+63xy^4
200
Write in standard form
2x + 3x2 - 5
3x2 + 2x - 5
200
Add the polynomials:
(-3ab - 12) + (7ab + 5)
4ab - 7
200
(20x^4y^3+10x^8y^9z)/(5x^3y^2)
2xy+2x^5y^7z
200
(3x+1)(3x-1)
9x2-1
300
A cubic polynomial has a degree of this.
3
300
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
(-1x2 - 5) + (3x2 + 1x + 8)
Final Answer: 2x2 + x + 3
300
(2x^3+3x^2-4)/(x+2)
2x^2-x+2+(-8)/(x+2)
300
(5x-3)2
25x2-30x+9
400
Classify by degree and number of terms:
7x^2+8x
Quadratic binomial
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
Change to addition problem and combine like terms.
(1k2 + 6k3 -4) + (-5k3 - 7k +3k2)
k3 + 4k2 -7k - 4
400
(2x^2+x^3-5x)/(x+3)
400
Multiply the Polynomials:
(x+2)2(2x-3)
2x^3+5x^2+2x-12
500
Which of the following are examples of a monomial?
a) 2x - 3x
b) 3x - 9y
c) 9x2 - 2x
d) 1 + 2 + 9
A) 2x - 3x = -1x
and
D) 1 + 2 + 9 = 12
500
Subtract the Polynomials:
(2x2 - 3x) - (x2 -2x + 4)
Change subtraction to addition
(2x2 - 3x) + (-1x2 +2x - 4)
x2 - x - 4
500
(4x^3+6x^2-10x+1)/(2x-1)
2x^2+4x-3+(-2)/(2x-1)
500
(3x-4)(8x^2+7x-8)
24x^3-11x^2-52x+32