Expanding Binomials Using the Pascal Triangle

Select the coefficients of the 5th Row in Pascal's Triangle

• 1;3;3;1

• 1;4;6;4;1

• 1;5;10;10;5;1

• 1;6;15;20;15;6;1

Choose the right Pascal's triangle

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Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1

• 1  1

• 1  2  1

• 1  3  3  1

How do you know what row of Pascal's triangle to use to expand a binomial?

• You use the row that has the same number of terms as the exponent

• You use the row that has the exponent number as it's second term

• You use the row that is on the bottom of the triangle

• You just guess

Select the correct expansion of (1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Select the correct expansion of (1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

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

• 5

• 6

• 25

• 50

• 3

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³

• 3240

• 262440x³

• 262440

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

• 255

• 256

• 257

• 260

• 264

• 6

• 5

• 7

• 4