Binomial Theorem
Formulas
Pascals Triangle
Terms, Factors, and Coefficients
SOLVE!
100

Expand 125(x5-8y6)

What is 5x5-1000y6?

100

This Triangle helps solve equations.

What is Pascal's Triangle?

100

This number can always be found at the left side of the triangle





What is 1?

100

(x+3)3


This equations coefficient

What is 3?

100

Distribute the following expression

4x2(3x2+1)

What is 12x4+4x2?

200

This is how you find n

What is Pascal's Triangle?

200

You'll want to do what to this equation?

(x-5)3

What is Expand?

200

Pascal's Triangle is named after this person. 

Who is Blasie Pascal?

200

2xy+x2+2

This equations terms

what is 2xy, x2, and 2?

200

Distribute the expression

−9x(x2+2x+4)

What is -9x3-18x2-36x?

300

Expand (2x+5)5

What is 32x5+400x4+200x3+5000x2+6250x+3125?

300

This is what the expression FOIL stands for

What is FRONT, OUTTER, INNER, LAST?

300

If the top row of Pascal's Triangle is row 0, then what is the sum of the numbers in the eighth row





What is 256?

300

Amount of terms are the in the expansion of (1+b)5





What is 6?

300

The Binomial expansion of (x + 1)5 ?





what is x5 + 5x4 + 10x3 + 10x2 + 5x + 1?




400

Expand -9x(x2+2x+4)

What is -9x3-18x2-36x?

400

This is the equation for the Binomial Theorem

What is (a+b)n= ∑nr=0nCr an-rbr?

400

This row of the Pascal's Triangle is the first time you see the number 6





What is 5th row?

400

terms and the coefficients of this equation

3x3+2y3-2y2+6x2-45

What is 3x3,2y3,-2y2,6x2,-45?

and what is 3, 2, and 1?

400

The binomial expansion of (x + 1)8 ?





What is x8 + 8x7 + 28x6 + 56x5 + 70x4 + 56x3 + 28x2 + 8x + 1?

500

Evaluate and expand

x3(-4x3+10x2-7x+2)

What is -4x6+10x5-7x4+2x3

500

This ∑ means what in greek?

What is sum?

500


Use the Pascal's Triangle to find the first two terms in the expansion (1+b)7





What is 1 and 7b?

500

Name all the factors,terms, and coefficients of this equation

3x4-3xy3+x2-12

What is 3, x4, -3, x, y3, x2, and -12. 3x4, -3xy3, x2, -12. Finally the coefficients are 4,3,2, and 1

500

Distribute the expression

x3(−4x3+10x2−7x+2)

What is 2x3-74+10x5-4x6?