Math Jeopardy
Solving
Polynomials
Multiply
Divide
Factoring
Polynomials
100
100
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100
100
200
200
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200
300
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300
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400
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500
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500
Solving Polynomials for 100
Solve the equation.
 x  3( x  10)  0
2
Hint for Solving Polynomials for
100
Set each individual factor equal to 0
and solve.
 x  3  0
( x 2  10)  0
Answer to Solving Polynomials
100
x3
x   10
Solving Polynomials for 200
Solve the polynomial.
x  2x  x  0
4
3
2
Hint for Solving Polynomials for
200
Factor out a common monomial
(What is common in each term).
Then finish factoring from there.
x 4  2x 3  x 2  0
Answer to Solving Polynomials
200
X=0,1
Solving Polynomials for 300
Solve by factoring.
3x  21x  30x
3
2
Hint for Solving Polynomials for
300
3x  21x  30x
3
2
Factor out a common monomial
(What is common in each term).
Then finish factoring from there
Answer to Solving Polynomials
300
X=0, -5, and -2
Daily Double
You need to decide how much
you are willing to bet, if you get
the right answer you will get
double what you bet.
Solving Polynomials for 400
Solve by grouping.
x  x  4x  4  0
3
2
Answer to Solving Polynomials
400
X= -2, 2, -1
Solving Polynomials for 500
Solve.
x  10x  5x  50
3
2
Answer to Solving Polynomials
500
x  10
x 5
Multiplying Polynomials for 100
Multiply.
3xy( x  x y  4 y )
4
2
3
Hint for Multiplying Polynomials
for 100
3xy( x 4  x 2 y  4 y 3 )
Use the distributive property.
Answer to Multiplying
Polynomials
100
3x y  3x y  12xy
5
3 2
4
Multiplying Polynomials for 200
Multiply
(x-10)(x+6)
Answer to Multiplying
Polynomials 200
x  4 x  60
2
Multiplying Polynomials for 300
Multiply:
( x  6)( x  3x  6)
2
Answer to Multiplying
Polynomials 300
x  9 x  24x  36
3
2
Multiplying Polynomials for 400
Write in standard form and identify
the degree and leading coefficient.
4 x 2  2 x  5x3  10 x4
Hint for Multiplying Polynomials
400
Standard form is largest degree to smallest degree.
The degree is the largest exponent.
The leading coefficient is the number in front of the
x with the largest degree.
Answer to Multiplying
Polynomials
400
The leading coefficient is -10 and the
degree is 4.
10 x 4  5x3  4 x 2  2 x
Multiplying Polynomials for 500
Expand.
( x  4)
4
Hint for Multiplying Polynomials
500
Use Pascal’s Triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
Row 0
Row 1
Row 2
Row 3
Row 4
Row 5
Answer to Multiplying
Polynomials 500
x  16x  96x  256x  1024
4
3
2
Dividing Polynomials for 100
Is (x-2) a factor of
x  x  12x  12 ?
3
2
Hint for Dividing Polynomials 100
Use synthetic division.
Is the remainder zero?
Answer to Dividing Polynomials
100
Yes, it is a factor
Dividing Polynomials for 200
Use synthetic division.
( x  2 x  12x  24)  ( x  2)
3
2
Hint for Dividing Polynomials
200
Set up the synthetic division problem
like this:
-2 1
2
12
24
Answer to Dividing Polynomials
200
x  12
2
Dividing Polynomials for 300
Use long division.
(3x  29x  10)  (3x  1)
2
Answer to Dividing Polynomials
300
x 10
Dividing Polynomials for 400
Divide using any method.
(3x  x  10)  ( x  5)
4
2
Answer to Dividing Polynomials
400
115
3x  15x  5x  25 
x 5
3
2
Dividing Polynomials for 500
Divide using long division.
(4 x  14x  2 x  10)  (2 x  1)
4
3
Answer to Dividing Polynomials
500
11
2 x  8x  4 x  1 
2x 1
3
2
Factoring Polynomials for 100
Factor:
x  10x  16
4
2
Hint for Factoring Polynomials
for 100
x 4  10x 2  16
Factors of 16 that add up to 10
16
Answer to Factoring Polynomials
100
( x  8)( x  2)
2
2
Factoring Polynomials for 200
Factor:
x  16
4
Answer to Factoring Polynomials
200
( x  4)( x  4)
2
2
If you got to here you are partly right!
The final answer is:
2
( x  4)( x  2)( x  2)
Factoring Polynomials for 300
Factor:
2 x  162x
3
Hint for Factoring Polynomials
for 300
2 x  162x
3
Factor out what’s common in both terms.
Then use difference of squares.
Answer to Factoring Polynomials
300
2 x( x  9)( x  9)
Factoring Polynomials for 400
Factor.
x  4 x  10x  40
3
2
Answer to Factoring Polynomials
400
( x  10)( x  4)
2
Factoring Polynomials for 500
Factor.
8t 3  27
Hint for Factoring Polynomials
for 500
Difference or sum
of cubes
8t 3  27
(u 3  v 3 )  (u  v)(u 2  uv  v 2 )
(u 3  v 3 )  (u  v)(u 2  uv  v 2 )
Answer to Factoring Polynomials
500
(2t  3)(4t  6t  9)
2
Polynomials for 100
Write the polynomial in standard form.
Identify the degree and leading
coefficient.
4 x  6 x 3  4  10x 2
Answer to Polynomials 100
6 x  10x  4 x  4
3
2
Degree 3.
Leading Coefficient is 6.
Polynomials for 200
Add.
( x  4 x  6)  (3x  4 x)
2
2
Answer to Polynomials 200
4x  6
2
Polynomials for 300
Simplify the following:
( x  2x  5)  (5x  3x  10)
3
2
3
Answer to Polynomials 300
4 x  2 x  5x  5
3
2
Polynomials for 400
Simplify.
(4 x  2 x  3x)  (4x  2 x  10)
3
2
2
Answer to Polynomials 400
 4 x  2 x  5 x  10
3
2
Polynomials for 500
Multiply.
( x  10)( x  4 x  6)
2
Answer to Polynomials 500
x  14x  34x  60
3
2