Terms that have the same variables and the same degree are....
Like terms
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
3x2 (2x4)
6x6
(x + 2)(x - 4)
x2 - 2x - 8
Classify the polynomial by Degree and Number of Terms
5a2 - 6a
Degree 2 (Quadratic) Binomial
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Multiply the Polynomials:
(2x)(x + 2)
2x2 + 4x
(3x - 5)(3x + 5)
9x2 - 25
Classify the polynomial by Degree and Number of Terms
-6a3 + 10a - 6
Cubic Trinomial
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(-3m)(-4m - 6)
12m2 + 18m
(4x + 5)(3x - 7)
12x2 - 13x - 35
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
term
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:
(4n - 1)(5)
20n - 5
(x - 3)(x2 - 4x + 5)
x3 - 7x2 + 17x - 15
What is the degree of a constant?
Zero
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply the Polynomials:
6(d2 - 4d)+3d(d - 2)
9d2-30d
(x + 4)3
x3 + 12x2 + 48x + 64