Factoring with the Binomial Theorem

Question 1

What is the factored form of the binomial expansion 256x2 – 608x + 361?

Revolt · Accepted Answer

(16x – 19)2

Question 2

Which statement explains why the polynomial cannot be factored using the binomial theorem?x3 – 4x2 + 16x – 64

Revolt · Accepted Answer

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

Question 3

What is the factored form of the binomial expansion x4 – 16x3 + 96x2 – 256x + 256?

Revolt · Accepted Answer

(x – 4)4

Question 4

Which polynomial can be factored using the binomial theorem?

Revolt · Accepted Answer

1,296x4 – 864x3 + 216x2 – 24x + 1

Question 5

Which polynomial can be factored using the binomial theorem?

Revolt · Accepted Answer

x3 + 21x2 + 147x + 343

Question 6

Which statement explains why the polynomial cannot be factored using the binomial theorem?125x3 + 900x2 – 2,160x + 1,728

Revolt · Accepted Answer

The signs do not follow the right pattern.

Question 7

What is the factored form of the binomial expansion 64x3 − 336x2y + 588xy2 − 343y3?

Revolt · Accepted Answer

(4x – 7y)3

Question 8

What is the factored form of the binomial expansion x3 + 9x2 + 27x + 27?

Revolt · Accepted Answer

(x + 3)3

Question 9

Which polynomial is paired to its factored form?

Revolt · Accepted Answer

64x3 + 384x2 + 768x + 512 and (4x + 8)3

Question 10

The binomial expansion 625x4 – 7,500x3 + 33,750x2 – 67,500x + 50,625 can be expressed as (ax + b)4. What is the value of b?

Revolt · Accepted Answer

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Factoring with the Binomial Theorem Answers