Binomial Expansions with Pascal's Triangle

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Tags

CCSS.HSA.APR.C.5

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

• 1
• 1  1
• 1  2  1
• 1  3  3  1

Tags

CCSS.HSA.APR.C.5

What is a binomial?

• a polynomial of the sum or difference of two terms

• a polynomial of the sum or difference of two or more terms

• a polynomial of the sum of two terms

• a polynomial of the sum of two or more terms

Expand: $\left(a+b\right)^3$   

•  $a^3-3a^2b+3ab^2+b^3$  

•  $a^3+3a^2b+3ab^{ }+b^3$  

•  $a^3+3a^2+3ab^2+b^3$  

•  $a^3+3a^2b+3ab^2+b^3$  

Tags

CCSS.HSA.APR.C.5

Choose the right Pascal's triangle

• 
• 
• 
• 

Tags

CCSS.HSA.APR.C.5

Anything raised to a power of zero is always:

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Tags

CCSS.HSA.APR.C.5

Expand: $\left(a+b\right)^2$   

•  $a^2+ab+b^2$  

•  $a^2+2ab+b^2$  

•  $a^2-ab+b^2$  

•  $a^2-2ab+b^2$  

Tags

CCSS.HSA.APR.C.5

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

Tags

CCSS.HSA.APR.C.5

What is the Index of binomial?

• The sum of all coefficients

• The power of the first coefficient

• The power of a binomial

• The Pascal's triangle

Tags

CCSS.HSA.APR.C.5