Find the Quotient and Remainder Using Long Division $\frac { x ^ { 6 } + x ^ { 2 } + 9 x ^ { 4 } + 9 } { x ^ { 2 } + 9 }$

question 43

Multiple Choice

Find the quotient and remainder using long division. $\frac { x ^ { 6 } + x ^ { 2 } + 9 x ^ { 4 } + 9 } { x ^ { 2 } + 9 }$

• A) Quotient: \(x ^ { 4 } + 1\)
• ; Remainder: \(1\)
• B) Quotient: \(x ^ { 2 } + 9\)
• ; Remainder: \(0\)
• C) Quotient: \(x ^ { 2 } - 9\)
• ; Remainder: \(0\)
• D) Quotient: \(x ^ { 4 } - 1\)
• ; Remainder: \(0\)
• E) none of these

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A financial calculation approach where interest is only derived from the base amount, not including any interest that has built up over time.