Understanding and applying the binomial theorem

which number is a coefficient found in the eighth row?

• 36

• 70

• 284

• 5

• 1452

Tags

CCSS.HSA.APR.C.5

Expand the binomial using Pascal's Triangle.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.C.5

True or False:
The coefficients of the 3rd and the 7th terms in the expansion of

 $\left(x+y\right)^8$  are identical.

• True

• False

Tags

CCSS.HSA.APR.C.5

If you expand (x + 1)⁶ using the binomial theorem, which describes BEST what you do?

• You multiply (x + 1) by itself 6 times

• You use patterns with exponents and pascal's triangle row 6 to find the answer.

• You use the numbers from row 6 of Pascal's triangle to write 7 terms.

• You distribute the exponent of 6.

Tags

CCSS.HSA.APR.C.5

According to Pascal's triangle, you would multiply the fourth term of the 8th degree binomial expansion by the number __________.

Tags

AII.9-12.7.B

P.9-12.5.F

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1

• 1, 5, 10, 10, 5, 1

• 1, 6, 15, 20, 15, 6, 1

• 1, 7, 21, 35, 21, 7, 1

Tags

CCSS.HSA.APR.C.5

How do you create Pascal's Triangle?

• The first row is all 1's, 2nd all 2's, third all 3's, etc.
• 1's all the way down on the outside of both right and left sides, then add the two numbers above each space to complete the triangle.
• Use the perfect square numbers
• Count by twos

Tags

CCSS.HSA.APR.C.5

Dakota said the third term of the expansion of (2g + 3h)^4 is 36g^2h^2. Explain Dakota’s error. Then correct the error.

• Dakota's error is in the value of the variables

• Dakota's error is in the calculation of the third term

• Dakota's error is in the binomial expansion formula

• Dakota's error is in the value of the coefficients

Tags

CCSS.HSA.APR.C.5

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

Tags

CCSS.HSA.APR.C.5

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

Tags

CCSS.HSA.APR.C.5