Pascal's Triangle
Add/Sub
Multi/Division
Binomial Theorem
Degree/#of terms
100

What number does the 67th row of Pascal's Triangle end with?

What is 1

100

Add: (3x-2) + (3x2+6x)

3x2+9x-2

100

solve

 ax 8a

What is 8a5

100

Using the binomial theorem expand (3x-2y)6

729x6-2430x5y+1944x4y2-216x3y3

100

What is the degree and #of terms of the problem 5x3-3x2-2x+3.

Cubic polynomial , 4 terms. (the highest exponent is 3)

200

Using the 5th row of Pascal's Triangle find the coefficients of (a + b)5

What is 1, 5, 10, 10, 5 ,1 

200

Add: (3x2+2x+1) + (2x2-4x-5) + (3x-1)


5x2 + x - 5

200

solve using synthetic division

(12 + 17r + r- 9r2) / (r - 4)

 What is r2 - 5r - 3

200

Use the binomial theorem to expand (h+t)6

h6+5h5t+6h4t2+h3t3

200

What is the degree and number of terms of the problem -n4-n.

Quartic binomial, 2 terms

300

Expand (a + b)4 using Pascal's Triangle 

What is a+ 4a3b + 6a2b2 + 4ab3 + b4

300

Subtract: 5(q+3) -9(q2-3q+2)

-9q2 +32q - 3

300

solve

(-7x2 - 2x - 2)(-2x2 +8x +3)

What is 

14x4 - 52x3 - 33x2 -22x -6

300

Using the binomial theorem what's the 4th term of (3c+4d)7

181,440c4d3

300

What is the degree and number of terms of the problem -9v6-3x2-2x+3

Sextic trinomial, 3 terms

400

Expand (2a - 3b)4 using Pascal's Triangle

What is 16a4 - 96a3b + 216a2b2 - 216ab3 + 81b4

400

Solve: (4x3y4 - 5x4y2 -2x2y3) - (-7x2y3 - 3x3y4 -7x4y2)

2x4y2 + 7x3y4 + 5x2y3

400

Solve using long division

(-80p + 25 + 32p2) / (-2 +8p)

What is 4p - 9 + 7/8p - 2

400

Using binomial theorem what's the 7th term of (3q-2p)6

64p6

400

What is the degree and number of terms of the problem -10n-7+4n4+8n6

Sextic polynomial, 4 terms

500

Expand (3a - 5b)3 using Pascal's Triangle then find the total of all the coefficients added together

What is 27a- 135a2b + 225ab2 - 125b

The total is -8

500

Solve: 3x2 + xy - 5y2 + 2x2 - xy + 3y2 - 6x2 + 4xy -7y2

-x- 9y2 + 4xy

500

Solve.

(80v5+32v4-54v3+35v2-103v+8) / (10v-1)

What is 8v4 +4v3 -5v2 +3v - 10 - 2/10v - 1

500

Using the binomial theorem what is the coefficient from the 3rd term of (3t+5m)8

510,300

500

What is the degree and number of terms for the problem -5-28v-32v2

Quadratic trinomial, 3 terms

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