Find All Rational Zeroes of the Function Given and Use

question 112

Multiple Choice

Find all rational zeroes of the function given and use them to write the function in factored form. Use the factored form to state all zeroes of the function. Begin by applying the tests for 1 and -1. p(x) = 4x⁴ + x³ + 33x² +9x - 27

• A) p(x) = (x - 1)(4x - 3)(x - 3i)(x + 3i); zeroes: 1, , 3i, -3i
• B) p(x) = (x - 1)(4x + 3)(x - 3i)(x + 3i); zeroes: 1, - , 3i, -3i
• C) p(x) = (x + 1)(4x - 3)(x - 3i)(x + 3i); zeroes: -1, , 3i, -3i
• D) p(x) = (x + 1)(4x + 3)(x - 3i)(x + 3i); zeroes: -1, - , 3i, -3i

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Definitions:

Macroanalysis

A sociological approach focusing on the study of large-scale societal structures and processes.

Challenger

An individual or entity that opposes or competes against a dominant or established opponent, often in a political, economic, or technological context.

Rigid Conformity

The strict adherence to societal rules and norms, often suppressing individuality and dissent.

Total Institutions

Places where individuals are cut off from the wider society and their lives are controlled and regulated by the administration of the institution.