Adding Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
3x2 (2x4+5x)
6x6+15x3
What is the constant term for this polnomial?
12+3x+6y
12
A polynomial with one term
Monomial
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Multiply the Polynomials:
3x(2x + 4x2 - 5)
12x3 + 6x2 - 15x
What type of polynomial is this?
3x2 - 5x
Binomial
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
Term
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(x-2)(x+6)
x2+4x-12
State the degree for this polynomial:
3x2- 12x
Degree Two
The number before a variable within a term is called the
coefficient
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
Multiply the Polynomials:
(3x-6)(5x+3)
15x2-21x-18
State the degree for the polynomial
-8 - 11x + 3x4y+ 12x2
Degree 5
Terms that have the same variables and the same degree are
Like Terms
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply the Polynomials:
(x - 1)(−8x2 − 6x − 12 )
-8x3 - 6x2 - 12x + 8x2 + 6x + 12
-8x3 + 2x2 - 6x + 12 (Correct Answer)
State the degree and name for this polynomial:
9x2y3+12x3y3-7xy2
6th Degree Trinomial
The highest exponent on the variables in a term
Degree
Find the perimeter of a square whose side length is 5x + 5
20x + 20 units
Subtract the following polynomials
(3 - 6x5 - 8x4) - (-6x4 - 3x - 8x5)
2x5 - 2x4 + 3x + 3
Multiply the following polynomials
(3r+ 5)2
9r2 + 30r + 25
Which of these are NOT polynomials?
1. 3
2. 4x21 - 4x
3. 3x2 + 2 - x-2
4. 5x-1 + 15x
Numbers 3 & 4
The number in front of the term with the highest exponent
Leading coefficient