Find the Quotient and Remainder for the Division Problem $\left( 4 a ^ { 3 } - 2 a ^ { 2 } + 7 a - 1 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)$

question 178

Multiple Choice

Find the quotient and remainder for the division problem. $\left( 4 a ^ { 3 } - 2 a ^ { 2 } + 7 a - 1 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)$

• A) Q: \(7 a - 19\)
• R: \(4 a - 6\)
• B) \(Q : 7 a - 19\)
• R: \(4 a + 6\)
• C) \(Q : 4 a + 6\)
• \(\mathrm { R } : 7 a - 19\)
• D) \(Q : 7 a + 19\)
• R: \(4 a - 6\)
• E) \(Q : 4 a - 6\)
• \(\mathrm { R } : 7 a + 19\)

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Definitions:

Independent Variable

The variable that is intentionally changed by the researcher in an experiment to see if it produces an effect.

Internal Validity

Refers to how well a study is conducted, specifically whether it establishes a causal relationship between variables.

Causal Relationship

A connection between variables where a change in one directly influences the change in another.

Length Of Test

The duration or number of items that constitute a test, influencing factors such as assessment fatigue and comprehensiveness of evaluation.