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Naming Polynomials
Adding and Subtracting Polynomials
Polynomial Products
Factoring
Factor by Grouping
100
Is 2x
-1
a monomial?
No, monomials cannot have negative exponents.
100
(5a
2
- 3) + (8a
2
- 1)
13a
2
- 4
100
x(2x
2
- 3x + 9)
2x
3
- 3x
2
+ 9x
100
x
2
- 5x + 4
(x - 4) (x - 1)
100
x(x - 8) + (x - 8)
(x + 1) (x - 8)
200
How many terms are in the polynomial 5x
3
+ 2x
2
- 8x + 4
4 terms
200
(h
2
+ 4h - 4) + (5h
2
- 8h + 2)
6h
2
- 4h - 2
200
(x+2)(x-3)
x
2
- x - 6
200
n
2
+ 6n + 8
(n + 2)(n + 4)
200
6z (z - 4) - 7 (z - 4)
(6z - 7) (z - 4)
300
What do you call a polynomial with 2 terms?
A binomial has 2 terms.
300
(6c
2
+ 3c + 9) - (3c - 5)
6c
2
+ 14
300
-a
5
(-9a
2
+ 5a + 13)
9a
7
- 5a
6
- 13a
5
300
x
2
- 14x - 51
(x - 17) (x + 3)
300
12 (z - 1) - 5z
2
(1 - z)
(z - 1) (12 + 5z
2
)
400
What is the degree of the trinomial y
3
+ 8
It is a 3rd degree trinomial because y is to the 3rd power.
400
(9b
3
- 13b
2
+ b) + (13b
2
- 5b + 14)
9b
3
- 4b + 14
400
(4b - 3) (b - 7)
4b
2
- 31b + 21
400
(x
2
- 81)
(x + 9) (x - 9)
400
a
3
+ 13a
2
- 5a - 65
(a + 13)(a
2
- 5)
500
Is 42
x
a monomial?
No, monomials cannot have a variable exponent.
500
(4d - 6d
3
+ 3d
2
) - (9d
3
+ 7d - 2)
-15d
3
+ 3d
2
- 3d + 2
500
(-r + 7)(2r
2
- r - 9)
-2r
3
+ 15r
2
+ 2r - 63
500
c
2
+ 13 cd + 36d
2
(c + 9d) (c + 4d)
500
5n
2
+ 19n + 12
(5n + 4)(n + 3)