Adding Polynomials
Add the following polynomials
x4+4x4
5x4
Subtract the following polynomials
7x4-2x4
5x4
Multiply the following polynomials
w2(w2+3)
w4 + 3w2
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
Term
The degree of this polynomial:
x3-7x2+4x5-19x7
7th Degree
Add the following polynomials
(x2-3)+(3x2+7)
4x2 + 4
Subtract the following polynomials
(a3-2a2)-(4a3+3a2)
-3a3 - 5a2
Multiply the following polynomials
r2(7r3-3r+9)
7r5 - 3r3 + 9r2
The number before a variable within a term is called the...
Coefficient
Classify this polynomial: (degree and terms)
2x3+3x-7
3rd degree trinomial/cubic trinomial
Add the following polynomials
(3x3+x2+9)+(x3-3x2+1)
4x3 - 2x2 + 10
Subtract the following polynomials
(4r3+3r4)-(-5r3+r4)
2r4 + 9r3
Multiply the following polynomials
(3r2+5)(-2r+7)
-6r3 + 21r2 - 10r + 35
Terms that have the same variables and the same exponent(s) are....
Like Terms
Classify: (terms)
10x4
Monomial
Add the following polynomials
(-9k3-3k2h+h4)+(k3-7kh2+4h4)
-8k3 -3k2h - 7kh2 + 5h4
Subtract the following polynomials
(8n-3n4+10n2)-(3n2+11n4-7)
-14n4 + 7n2 + 8n + 7
Multiply the following polynomials
(6t2+4rs - 8ts)(-4trs)
-24t3rs -16tr2s2+ 32t2rs2
The highest exponent on the variables in a term
Degree of the term
True or False
Polynomials can have constants, variables and exponents
True
Add the following polynomials
(2k3-7k-8)+(-5k3-k2-3k)
-3k3 - k2 - 10k - 8
Subtract the following polynomials
(3-6n5-8n4)-(-6n4-3n-8n5)
2n5 - 2n4 + 3n + 3
Multiply the following polynomial
(3x2y + 8xy2 - 2xy+3)(6xy - 4x2y2)
-12x4y3 - 32x3y4 + 8x3y3 + 18x3y2 + 48x2y3 - 24x2y2 + 18xy
A polynomial with a degree of 3 and 3 terms is called a...
Cubic Trinomial
The degree of this monomial
x3y2z
6th degree monomial