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?

A. –15
B. –5
C. 5
D. 15

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Answer:

Step-by-step explanation:

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The value of b according to the binomial expansion expressed in the form, (ax + b)⁴ is; b = 15.

The binomial expansion given is;

625x4 – 7,500x3 + 33,750x2 – 67,500x + 50,625.

While expressing the binomial expansion in the form; (ax + b)⁴;

The value of b can be evaluated as follows;

  • b⁴ = 50,625

In essence, the quartic root of 50625 is the value of b as follows;

[tex]b = \sqrt[4]{50625} [/tex]

b = 15. OR. b = -15

However, more convincingly, the value of b is; Choice D: 15

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