Question

Analyze the expression and then choose the sentences describing whether the binomial theorem can be used to factor it. Check all that apply.
x^3 – 24x^2 + 192x – 512

A.) The value of n is 3, and the first and last terms are perfect cubes.

B.) The middle terms do not take into account the coefficients from Pascal’s triangle.

C.) The exponents on each term follow the pattern for a binomial expansion.

D.) The sign of the constant must be positive in the binomial expansion. The signs are all reversed.

E.) The expression can be factored using the binomial theorem.

F.) The expression cannot be factored using the binomial theorem.

Answer 1

Answer:

Step-by-step explanation:

N is 3 bc #of terms minus 1

Exponents go from 3>2>x>none

Can be factored using binomial theorem

Answer 2

Answer:

-The middle terms do not take into account the coefficients from Pascal’s triangle.

-The exponents on each term follow the pattern for a binomial expansion.

-The expression cannot be factored using the binomial theorem.