Adding Polynomials
Add the following polynomials
x4+4x4
5x5
Subtract the following polynomials
7x4-2x4
5x4
Multiply the following polynomials
w2(w2+3)
w4 +3w2
Factor the polynomial by grouping
3x2 + 21x + 2x + 14
(3x + 2) (x + 7)
The degree of this polynomial:
x3-7x2+4x5-19x7
Put in standard form first
-19x7 +4x5 +x3 -7x2
Degree of 7
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
Factor the polynomial
4x2 + 3x + 20x + 15
(x + 5) (4x + 3)
Classify this polynomial:
2x3+3x-7
number of terms: 3 (trinomial)
degree: 3 (cubic)
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
(9m-3)(2m+3)
18m2 +21m -9
Factor the polynomial
14x2y - 2xy + 21x - 3
(2xy + 3) (7x - 1)
What are the number of degrees?
10abcdef2 - 12wxyz
degree: 7
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
(3r2+5)2
9r4 +30r2 +25
Factor the polynomial
6a2b - 15ab + 8a - 20
(3ab + 4) (2a - 5)
True or False
Polynomials can have constants, variables and exponents
True
Add the following polynomials
(2k3-7k)+(-5k3-k2-3k)
-3k3 - k2 - 10k
Subtract the following polynomials
(3-6n5-8n4)-(-6n4-3n-8n5)
2n5 -2n4 +3n +3
Multiply the following polynomials
(t2+4)(t3+6t-3)
t5 +24t3 - 3t2 +24t - 12
Factor the polynomial
-2x2 + 10x + 3x - 15
(-2x + 3) (x - 5)
The degree of this polynomial
6x3-3x+12x5+x4
Standard for first:
12x5 +x4 +6x3 -3x
degree: 5