Binomial theorem and Pascals triangle

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: $\left(a+b\right)^2$   

•  $a^2+ab+b^2$  

•  $a^2+2ab+b^2$  

•  $a^2-ab+b^2$  

•  $a^2-2ab+b^2$  

Tags

CCSS.HSA.APR.C.5

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

How many rows in The Pascal's triangle?

• 7

• 8

• 100

• Infinite

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

Choose the right Pascal's triangle

• 
• 
• 
• 

Tags

CCSS.HSA.APR.C.5

Expand: $\left(x+5\right)^5$  

•  $x^5+25x^4+250x^3+1250x^2+3125x+3125$  

•  $x^5+25x^4+250x^3+1250x^2+3125x$  

•  $x^5+25x^4+250x^3+1250x^2+3025x+3025$  

•  $x^5+25x^4+250x^3+1250x^2+3025x$  

Tags

CCSS.HSA.APR.C.5

Expand: $\left(x+2\right)^4$   

•  $x^4+8x^3+24x^2+32x+16$  

•  $x^4+8x^3+16x^2+32x+16$  

•  $x^4+8x^3+16x^2+24x+16$  

•  $x^4+8x^3+32x^2+16x+16$  

Tags

CCSS.HSA.APR.C.5

Expand: $\left(a-b\right)^5$  

•  $a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5$  

•  $a^5-5a^4b+10a^3b^2-10a^2b^3+5ab^4-b^5$  

•  $a^5-5a^4b+10a^2b^3-10a^3b^2+5ab^4-b^5$  

•  $a^5-5a^4b-10a^3b^2-10a^2b^3-5ab^4-b^5$  

Tags

CCSS.HSA.APR.C.5