Find the Coefficient a of the Term in the Expansion $( x + 7 ) ^ { 12 } a x ^ { 5 }$

question 66

Multiple Choice

Find the coefficient a of the term in the expansion of the binomial.​ Binominal Terms
$( x + 7 ) ^ { 12 } a x ^ { 5 }$ ​

• A)-407,653,785
• B)-652,246,056
• C)760,953,732
• D)181,179,460
• E)652,246,056

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Definitions:

Lowest Terms

The simplest form of a fraction when both the numerator and denominator cannot be any smaller while still being whole numbers.

Ratio

An arithmetic ratio that illustrates the frequency with which one number incorporates another, depicting how many times one value is contained within another.

Equivalent Ratio

Ratios that express the same relationship between numbers, despite being scaled differently.

Smallest Term

The minimum value or term in a set, sequence, or collection of numbers or values.