Standard Form/Classifying
Classify the polynomial by the degree and number of terms:
2x3
degree: 3, Monomial (1 term)
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
(x+2)(x+5)
x2+7x+10
A letter. Example: x
Variable
Classify the polynomial by Degree and Number of Terms
5a2 - 6a
degree: 2 Binomial(2 terms)
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(5h - 2) - (7h +6)
-2h-8
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
Terms with the same variable and degree
Like Terms
Classify the polynomial by Degree and Number of Terms
-6a4 + 10a3
degree: 4 Binomial(2 terms)
Add the polynomials:
(x2 +3x + 5) + ( x2 +6x)
2x2+9x+ 5
(3x2 +4x - 8) - (x2+4x - 8)
2x2
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
A polynomial with two terms
Binomial
Classify the polynomial by Degree and Number of Terms
-10k3 + k +1
degree: 3 Trinomial(3 terms)
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:
(2x + 3)2
4x2 + 12x + 9
The highest exponent of a polynomial
Degree
Classify the polynomial by Degree and Number of Terms
4x - 9x2 + 4x3 - 5x4
degree: 4. Polynomial(4 terms)
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
(7x2 - 5x+10) - (x2 - 2x + 4)
6x2 - 3x + 6
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
Organizing terms from highest to lowest degree
Standard Form