Binomial Expansion and Pascal's Triangle

To find the values of the interior triangles of pascal's triangle, you find the ________________ of the triangles above it

• product

• quotient

• difference

• sum

Tags

P.9-12.5.F

The top row of pascals triangle is row

The second number in each row corresponds to the...

• ...first term of the binomial prior to expansion

• ...row number

• ...power of the expansion

• ...degree of every term in the expansion of (a+b)

• ...coefficient of all terms in the expansion

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1

• 1, 5, 10, 10, 5, 1

• 1, 7, 21, 35, 35, 21, 7, 1

• 1, 7, 21, 35, 21, 7, 1

Which row of Pascal's Triangle would you use to expand (x+y)⁴?

• 1 1

• 1 2 1

• 1 3 3 1

• 1 4 6 4 1

What is row 5 of Pascal's Triangle?

• 1, 2, 1

• 1, 3, 3, 1

• 1, 4, 9, 4, 1

• 1, 5, 10, 10, 5, 1

Describe the signs ( + and - ) in the expanded form of (x -3)⁴ .

• all +

• all -

• alternating ending in +

• alternating ending in -

Find the coefficient of the x⁵ term in (5x+1)¹¹.  

• 1443750x⁵

• 1443750

• 7218750x⁵

• 7218750

Expand (x−7)²

• x² - 14x + 49

• -x² - 14x - 49

• x² + 14x - 49

• 49x²