Polynomial Identities Quiz

What is the middle term of (x + 5)^2?

• 5x

• 15

• 25

• 10x

How are Pascal’s Triangle and a binomial expansion, such as (a+ b)^5, related?

• Pascal’s Triangle is unrelated to a binomial expansion

• Pascal’s Triangle is used to factor a binomial

• Pascal’s Triangle is used to expand a binomial

• Pascal’s Triangle contains the coefficients of the binomial expansion

What number does C3 represent in the expansion C0a^5 + C1a^4b + C2a^3b^2 + C3a^2b^3 + C4ab^4 + C5b^5?

• 20

• 25

• 15

• 10

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

What is the product of (2x+ 8y)(2x− 8y)?

• 4x^2 - 16y^2

• 4x^2 - 64y^2

• 4x^2 - 32y^2

• 4x^2 + 16y^2

What is the third term of the expansion (a - b)^6?

• 15a^5b

• 15a^3b^3

• 15a^2b^4

• 15a^4b^2

Use the Binomial Theorem to expand (d - 3)^4.

• d^4 - 12d^3 + 54d^2 - 108d - 243

• d^4 - 12d^3 + 54d^2 - 108d - 81

• d^4 - 12d^3 + 54d^2 - 108d + 81

• d^4 - 12d^3 + 54d^2 - 108d + 243

What is the expansion of (2x+ 4x)^7?

• 128x^4

• 128x^7

• 128x^6

• 128x^5