Use Synthetic Division to Determine the Quotient and Remainder for the Division

question 244

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )$

• A) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14\]
• \(\mathrm { R } : 13\)
• B) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14\]
• \(\mathrm { R } : 0\)
• C) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14\]
• \(\mathrm { R } : 13\)
• D) \(\begin{array} { l }
• \mathrm { Q } : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14 \\
• \mathrm { R } : - 13
• \end{array}\)
• E) \[Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14\]
• \(\mathrm { R } : 0\)

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Definitions:

Erythrocytes

Red blood cells that carry oxygen from the lungs to the body's tissues and carbon dioxide back to the lungs.

Glucose

A simple sugar that is an important energy source in living organisms and is a component of many carbohydrates.

Renal Corpuscle

A structure in the kidney that includes the glomerulus and Bowman's capsule, where blood filtration begins.

Functional Unit

A functional unit refers to the smallest structure within an organ that can perform all of the functions of that organ.