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Name polynomial by number of terms.
 
1)  
A) linear binomial
B) trinomial
C) binomial
D) 0
 
Place in standard form.
2)  
 
Name the degree and number of terms of the polynomial
3)  
A) second degree monomial
B) third degree polynomial with four terms
C) sixth degree monomial
D) sixth degree polynomial with four terms
 
Find each product.
4) (b - 3)(6b - 3)
 
5) (6x - 2)(8x + 2)

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1. Factor out the GCF from thepolynomial.
20m^9 + 6m^7 + 20m^5
2(10m^9 + 3m^7 +10m^5)
No common factor
m^5 (20m^4 + 6m^2 +20)
2m^5 (10m^4 + 3m^2 +10)


2. Find the solution to the system by addition(elimination) method.
4x + 15y = 15
8x - 3y = -3
(1, 0)
(0, 0)
(0, 1)
(1, 1)


3. (11p + 4)(11p - 4)
p^2 - 16
121p^2 + 88p - 16
121p^2 - 16
121p^2 - 88p -16


4. Find the solution to the system by addition(elimination) method.
2x + 15y = -91
9x + 5y = 28
(-5, 7)
(7, -7)
(9, -9)
(-7, 7)


5. Factor by grouping.
18x^3 + 15x^2 + 12x + 10
(3x^2 + 2)(6x + 5)
(18x^2 - 2)(x - 5)
(3x^2 - 2)(6x - 5)
x(18x + 2)(x +5)


6. (x + 3y)(x + 5y)
x^2 + 5xy + 15y^2
x^2 + 8xy + 8y^2
x^2 + 8xy + 15y^2
x + 8xy + 15y


7. 6x^7 (9x^7 + 12x^2 - 7)
54x^7 + 72x^2 - 42
54x^14 + 72x^9
54x^14 + 72x^9 -42x^7
54x^14 + 12x^2 -7


8. 15x^2 - 12x + 10x - 8
(15x + 2)(x - 4)
(15x - 2)(x + 4)
(3x - 2)(5x + 4)
(3x + 2)(5x -4)


9. For the polynomial, state the degree andwhether or not the polynomial is a monomial, a binomial, or atrinomial.
5x^3y^4 - 8x^5y^6 + 8
Binomial, degree 7
Trinomial, degree 3
Trinomial, degree18
Trinomial, degree11


10. (3x^8 + 2x^7 - 4x^6 + 8) + (7x^8 - 4x^7 +8x^6 + 1)
10x^8 - 2x^7 + 4x^6 +9
12x^42 + 9
10x^26 - 2x^14 + 4x^12 +9
4x^8 + 4x^7 + 4x^6 +9


11. (2n^5 - 3n^3 - 6) - (5n^5 - 14n^3 -3)
-3n^5 + 2n^3 - 9
-3n^5 + 11n^3 - 3
5n^8
-3n^5 + 11n^3 -9


12. Use the substitution method to solve thesystem.
x - 4y = -13
7x - 5y = -22
(1, 4)
(-2, 4)
(-1, 3)
No solution


13. Use the substitution method to solve thesystem.
8x - 6y = 32
2x - 2y = 8
(3, 1)
(4, 1)
(4, 0)
No solution


14. Terms in a polynomial are separated byaddition or subtraction.
True
False


15. A polynomial is an algebraic expression ofone or more terms.
True
False


16. A solution of two linear equations in twovariables is an ordered pair that is a solution to eachequation.
True
False


17. The greatest common factor will always begreater than the largest factor of each term of theexpression.
True
False


18. A system of equations in two variables mayhave infinite solutions.
True
False


19. When two or more algebraic expressions aremultiplied, each expression is called a term.
True
False


20. Factoring is multiplication inreverse.
True
False

Simplify. Your answer should contain only positive exponents.

1)    
Name each polynomial by degree and number of terms.
2)  
3)  
4)  
Simplify the difference.
5)  

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