Download Polynomials - Humble ISD

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ALGEBRA II Notes UNIT 4-1 DAY 1 Polynomials
A ____________________ is a number or a product of numbers and variables with whole number
exponents. A ______________________is a ___________________ or a sum or difference of
___________________. Each monomial in a polynomial is a __________________.
The ____________ of a monomial is the sum of the __________________ of the variables.
Find the degree of each monomial.
A.
x4
B.
C.
x3 y 4 z
D. 12
4a 2b
The ___________________of a polynomial is given by the term with the ___________________
_________________. A polynomial with one variable is in ______________ ______________ when
its terms are written in _______________order by degree. So, in standard form, the degree of the
________ term indicates the degree of the polynomial, and the leading coefficient is the coefficient of
the __________ term.
Rewrite each polynomial in standard form. Then identify the leading coefficient, degree, and
number of terms. Name the polynomial.
A. 2 x  4 x3  1
B. 7 x3  11x  x 5  2
C. 7 x  5 x 4
D. x 2  4 x  3x3  2 x
Add or subtract. Write your answers in standard form.
A. (3x  7  x)  (14 x  2  x  x)
2
3
C. (1  x )  (3x  2 x  5)
2
2
2
3
2
3
2
B. (30 x  49 x  7 x)  (50 x  75  60 x )
D. (7 x  9 x  8 x  11)  (5 x  13x  16)
3
2
3
OYO:
1.
 4x  5 y  18   6x  5 y  2
10.  5 x 2  7 x  3   4 x 2  2 x 
2.
3x  5   5x  2
11.
3 y
3
3.
 4x  5 y  18   6x  5 y  2
12.
y
4
 9 y 2  11  13 y 3  5 y 4  19 y  1
4.
5z
13.
k
3
 3k 2  6  5k    3k  4k 2  2k 3  8 
14.
c
3
 3c 2  8c  1   2c 3  5c 2  2c  3
15.
 3a
2
 z   6z 2  z 
5.  2 x  3   x  5
6.  7r  8   3r  2
7.
5
 7 y 2  5 y    9 y 3  18 y 2 
 2a 3  4a 2  7    2a 3  3a 5  7  4a 2 
 7 x  4   4x  2
ASSIGNMENT:
Pg. 410 #11, 13, 19-29 odd Due Block Day
8. 14m  3n    n  6m
9.  9 p  7   15 p  13