1. Give
the Missing
Factor
Factor
and Solve
Equations
Factor a
Trinomial
Mixed
Factoring 10 10 10 10 20 20 20 20 30 30 30 30 40 40 40 40 50 50 50 50
Click here for game DIRECTIONS
Hardtke Jeopardy Template 2011

2. X2 – 121  (x – 11)( ? ) Click to check answer
Give the Missing Factor
X2 – 121  (x – 11)( ? ) Click to check answer
X + 11
This is a Difference of Squares and
thus it factors into two conjugates.
Click to return to game board

3. x2 – 18x2 + 81  (x – 9) ( ? ) Click to check answer
Give the Missing Factor
x2 – 18x  (x – 9) ( ? ) Click to check answer
(x – 9)
This is a PST, so it factors as (x – 9)2
Click to return to game board

4. 6x3 – 39x2 – 21x 3x(x – 7) ( ? ) Click to check answer
Give the Missing Factor
6x3 – 39x2 – 21x 3x(x – 7) ( ? ) Click to check answer
(2x + 1)
Step 1: 3x(2x2 – 13x – 7)
Step 2 is to reverse FOIL
Click to return to game board

5. x3 – 27y3  (x – 3y) ( ? ) Click to check answer
Give the Missing Factor
x3 – 27y3  (x – 3y) ( ? ) Click to check answer
(x2 + 3xy + 9y2)
The middle term is the opposite of the product of the cube roots found in the binomial factor.
Click to return to game board

6. x4 – 7x2 + 10  (x2 – 5) ( ? ) Click to check answer
Give the Missing Factor
x4 – 7x  (x2 – 5) ( ? ) Click to check answer
x2 – 2
Notice this is a “quartic” (4th degree) that factors just like a “quadratic” trinomial (2nd degree)
Click to return to game board

7. x2 – 49 = 0 Click to check answer
Factor and Solve the Equation
x2 – 49 = 0 Click to check answer
{ – 7, 7}
Step 1 – DOTS: (x – 7)(x + 7) = 0
Click to return to game board

8. 6x2 + x – 1 = 0 Click to check answer
20 Factor and Solve the Equation
6x2 + x – 1 = 0 Click to check answer
− 𝟏 𝟐 , 𝟏 𝟑
Step 1 – FOIL: (3x – 1)(2x + 1) = 0
Step 2 – Set each factor to zero: 3x – 1= x + 1 = 0
3x = x = – 1
Click to return to game board

9. 10x3– 65x2 + 75x= 0 Click to check answer
Factor and Solve the Equation
10x3– 65x2 + 75x= 0 Click to check answer
0, 3 2 , 5
Step 1 – GCF: 5x(2x2 – 13x + 15) = 0
Step 2 – Foil: 5x(2x – 3)(x – 5) = 0
Click to return to game board

10. x4– 10x2 + 9 = 0 Click to check answer
Factor and Solve the Equation
x4– 10x2 + 9 = 0 Click to check answer
{ – 3, – 1, 1, 3}
Step 1 – FOIL: (x2 – 1)(x2 – 9) = 0
Step 2 – DOTS: (x – 1)(x + 1)(x – 3)(x + 3) = 0
Click to return to game board

11. x2(x – 5) – 9(x – 5) = 0 Click to check answer
Factor and Solve the Equation
x2(x – 5) – 9(x – 5) = 0 Click to check answer
{ – 3, 3, 5}
Step 1 – GCF: (x – 5)(x2 – 9) = 0
Step 2 – DOTS: (x – 5)(x – 3)(x + 3) = 0
Click to return to game board

12. 4x2 + 20x + 25 Click to check answer
Factor a Trinomial
4x2 + 20x + 25 Click to check answer
(2x +5)(2x + 5) or (2x + 5)2
This is a PST. When the 1st & 3rd terms are squares always check first to see if a binomial squared will give the correct middle term.
Click to return to game board

13. 4ax2 – 44ax – 48a Click to check answer
Factor a Trinomial
4ax2 – 44ax – 48a Click to check answer
4a(x – 12)(x + 1)
Step 1 – GCF: 4a(x2 – 11x – 12)
Step 2 – FOIL: 4a( x – 12)(x + 1)
Click to return to game board

14. 18x2 + 21x – 30 Click to check answer
Factor a Trinomial
18x2 + 21x – 30 Click to check answer
3(6x – 5)(x + 2)
Step 1 – GCF: 3(6x2 + 7x – 10)
Step 2 – FOIL: 3(6x – 5)(x + 2)
Click to return to game board

15. x2(a+3) − x(a+3) − 30(a+3) Click to check answer
Factor a Trinomial
x2(a+3) − x(a+3) − 30(a+3) Click to check answer
(a+3)(x – 6)(x + 5)
Step 1 – GCF: (a+3)(x2 – x – 30)
Step 2 – FOIL: (a+3)( x – 6)(x + 5)
Click to return to game board

16. (y+2)x3– 13(y+2)x2 + x(y+2) Click to check answer
Factor a Trinomial
(y+2)x3– 13(y+2)x2 + x(y+2) Click to check answer
x(y+2)(x2 – 13x + 1)
Step 1: x(y + 2) is a GCF of all three terms
Then the leftover trinomial is prime,
so you’re done.
Click to return to game board

17. x2(a – b) – 9(a – b) Click to check answer
Mixed Factoring
x2(a – b) – 9(a – b) Click to check answer
(a – b)(x – 3)(x + 3)
Step 1 (a – b) is the GCF: (a – b)[x2 – 9]
Step 2 DOTS: (a – b)(x – 3)(x + 3)
Click to return to game board

18. 12x3 – 27xy2 Click to check answer
Mixed Factoring
12x3 – 27xy2 Click to check answer
3x(2x – 3y)(2x + 3y)
Step 1 – GCF: 3x(4x2 – 9y2)
Step 2 is DOTS
Click to return to game board

19. wx3 – 64wy3 Click to check answer
Mixed Factoring
wx3 – 64wy3 Click to check answer
w(x – 4y)(x2 + 4xy + 16y2)
Step 1 – GCF: (w)[x3 – 64y3]
Step 2 – Diff of Cubes: w(x – 4y)(x2 + 4xy + 16y2)
Click to return to game board

20. 5acx – 15ac – 5bcx + 15bc Click to check answer
Mixed Factoring
5acx – 15ac – 5bcx + 15bc Click to check answer
5c(a – b)(x – 3)
Step 1 – GCF of all terms: 5c(ax – 3a – bx + 3b)
Step 2 – Grouping: 5c[a(x – 3) – b(x – 3)]
Step 3 – GCF: 5c(x – 3)[a– b]
Click to return to game board

21. 7x2 – 42x + 63 – 28y10 Click to check answer
Mixed Factoring
7x2 – 42x + 63 – 28y10 Click to check answer
7(x – 2y5 – 3)(x + 2y5 – 3)
Step 1 – GCF of all terms: 7( x2 – 6x + 9 – 4y10)
Step 2 – Grouping 3 X 1: 7[ (x – 3)2 – 4y10]
Step 3 – DOTS:
7[ (x – 3) – 2y5] [ (x – 3) + 2y5]
Click to return to game board

22. Return to main game board
Jeopardy Directions
Any group member may select the first question and students rotate choosing the next question in clockwise order regardless of points scored.
As a question is exposed, EACH student in the group MUST write his solution on paper. (No verbal responses accepted.)
The first student to finish sets down his pencil and announces 15 seconds for all others to finish working.
After the 15 seconds has elapsed, click to check the answer.
IF the first student to finish has the correct answer, he earns the point value of the question and no other students earn points.
IF that student has the wrong answer, he subtracts the point value from his score and EACH of the other students with the correct answer earns/steals the point value of the question. (Those students do NOT lose points if incorrect, only the first student to “ring in” can lose points in this game version.)
Each student should record a running total of his own score.
Good sportsmanship and friendly assistance in explaining solutions is expected! Reviewing your math concepts is more important than winning.
Return to main game board