Adding Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
The degree of this polynomial:
x3 - 7x2 + 4x5 - 19x7
.
7
What is the degree and Leading Coefficient:
5k2 + 6k3 -4jk
Degree: 3
Leading Coefficient: 6
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Classify by its degree and number of terms:
10x20
Degree: 20, monomial
What is the degree and leading coefficient?
-3xy + 6x
Degree: 2
Leading Coefficient: -3
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
A constant has a degree of _________
Zero
What is the degree and leading coefficient?
(6x2 - 8x + 2) - (-3x2 + 6x + 8)
Degree: 2
Leading Coefficient: 9
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Rewrite this polynomial in standard form (in descending order of exponent)
-6a4 + 10a3 + 14a7 - 22a2 + 33
14a7 - 6a4 + 10a3 -22a2 +33
What is the degree and leading coefficient?
-5x2y2 - 10z + 14xy2
Degree: 4
Leading Coefficient: -5
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Refers to the highest exponent in a polynomial, or the exponent on a specific term
Degree
What is the degree and the leading coefficient:
3 - 6x5 - 8x4 + 6x4 - 3x - 8x5
Degree: 5
Leading Coefficient: -14
Find the perimeter of a triangle whose side lengths are 3x, 2x + 7, and 18 units long.
5x + 25 units
Subtract the following polynomials
(3 - 6x5 - 8x4) - (-6x4 - 3x - 8x5)
2x5 - 2x4 + 3x + 3
Terms that have the same variables and the same degree are....
Like terms
What is the degree and leading coefficient?
- 30xyz2 - 15x3y2z + 42xy3z
Degree: 6
Leading Coefficient: -15