Polynomial Vocabulary
greatest exponent of all the monomials
Degree of a polynomial
The Greatest Common Factor of 15 and 21
Factors of 15 --> 1,3,5,15
Factors of 21--> 1,3,7,21
Answer// 3
The Greatest Common Factor of 18 and 36
Factors of 18 are 1,2,3,6,9, and18
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
GREATEST COMMON FACTOR (GCF)
Answer// 18
Factors of
x2+5x+4
(x+4) (x+1)
Write a trinomial of degree 2.
Example:
x2+2x+1
* the answer varies but the highest exponent must be 2
The Greatest Common Factor of 14 and 70
Factors of 14--> 1,2,7,14
Factors of 70--> 1,5,7,14,35,70
Answer// 14
The Greatest Common Factor of 32 and 48
Factors of 32 are 1, 2, 4, 8, 16, 32
Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
ANSWER// 16
Factors of
y2+7y+12
(y+4) (y+3)
Write a cubic binomial
Example
y3+6
*the answer varies but the highest exponent must be 3
The Greatest Common Factor of 20 and 44
Factors of 20--> 1,2,4,5,10,20
Factors of 44--> 1,4,11,44
Answer// 4
The Greatest Common Factor of 24 and 80
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24
Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
ANSWER// 8
Factors of
x2-6x+8
( x-2) (x-4)
NUMBER OF TERMS for this polynomial.
t10+t8-2t7-5t3+7t+1There are 6 terms
( all terms are separated by a "+" or "-" sign)
The Greatest Common Factor of 24 and 36
Factors of 24--> 1,2,3,4,6,8,12,24
Factors of 36--> 1,2,3,6,9, 12, 18,36
Answer// 12
The Greatest Common Factor of 18 and 90
Factors of 18 are 1,2,3,6,9,18
Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
ANSWER// 18
Factors of
r2-5r+6
(r-2) (r-3)
NUMBER OF TERMS of this polynomial
y3/4+7
THIS IS NO A POLYNOMIAL.
The Greatest Common Factor of 10 and 45
Factors of 10--> 1,2,5,10
Factors of 45--> 1, 3, 5, 9, 15, 45.
Answer// 5
The Greatest Common Factor 25 and 150
Factors of 25 are 1,5,25
Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150
25
Factors of
x2-x-12
(x-4) (x+3)