Name: Date:
Test
Factoring Polynomials
~Circle the letter to
the word that best fits the definition, worth 5 points each
1. Which of the following is a perfect example
of a “Perfect Square Trinomial”?
A.) 25y² + 30y + 4
B.) 9a² - 6a + 1
C.) (7m)² - 24m + (2)²
D.) none of the above
2. Which of the
following is a Quadratic Equation in standard form?
A.) 7x - 2x² + 4 = 0
B.) -2x²
+ 4 = 7x
C.) 4 + 7x = -2x²
D.)
none of the above
~Write in the letter
of the example that best matches each mathematical term in the blank column by
the terms, worth 2 points each
3. Mathematical Terms Examples
____1. Foil Method a. (a)(b)=0 then a=0,b=0,or a & b=0
____2. Product Property of Zero b.
solution of an equation
____3. Factoring by Groups c.
integers divisible by two
____4. Cubic Equation d. ax²+bx+c=0
____5. Roots e.
using a common monomial
f.
third degree equation
g.
first, outer, inner, last
More on back ![]()
~Solve Each Equation;
Show All Work, Worth 4 points each
6. y² +15y+26=0
7. 16m=12-3m²
8. 2x²+3x²-35x=0
9. p+56=p²
10. 28=y+2y²
~Multiply the following, Show All Work, Worth
4 points each
11. (5x-2)(5x+2)
12. (3a+4c)(5a-2c)
13. (3x+2)(x²-5x+4)
~Factor each Polynomial completely; Show
All Work, Worth 4 points each
14. a²-7a+10
15. 2x²-xy-15y²
16. 25k²-49b²
17. x³y-16xy³
~Determine if each trinomial is a perfect
square. If so factor it. Show All Work, Worth
4 points each
18. 36b²-18b+9
19. 16x²-24xy+9y²
More on back ![]()
~Solve each problem; Show All Work, Worth 4
points each
20. If
2 times a number is added to the square of the number, the result is 24. Find the two solutions
21. Find three consecutive odd integers
whose product is 315.
22. Find two consecutives even integers
such that the square of the first decresed by twice
the second is 20.
23. Solve 2a -68a³+450a=0
24. Multiply: (3x+5)(x-2)(x+3)
25. Factor completely: x²a²-4a²y²-9x²+36y²