12) Find the quotient when (x3 - 2x2 - 11x - 20) is divided by (x - 5).A) x2 + 3...

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mamasalon15 @mamasalon15

December 2021 1 33 Report

12) Find the quotient when (x3 - 2x2 - 11x - 20) is divided by (x - 5).
A) x2 + 3x + 4
B) x2 – 3x + 4
C) x2 + 3x - 4
D) x2 – 3x - 4

Answers & Comments

Verified answer

Answer:

A. x² + 3x + 4

Step-by-step explanation:

$\bm{ x {}^{2} \: \: + \: \: 3x \: \: + \: \: 4 } \\ \bm{ x - 5)\overline{ {x}^{3} - 2 {x}^{2} - 11x - 20} } \\ \bm{ \underline{ \:\:{x}^{3} - 5 {x}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } } \\ \bm{ 3 {x} ^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \bm{ \underline{3 {x}^{2} - 15x} \: } \\ \bm{ 4x } \\ \bm{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: 4x - 20 } } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bm{ 0 }$

Check to verify:

$\bm{ {x}^{2} + 3x + 4 } \\ \bm{ \underline{ \: \times \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 5 \: \: \: } } \\ \bm{ \: \: \: \: \: - 5 {x}^{2} - 15x - 20} \\ \bm{ \underline{ {x}^{3} + 3 {x}^{2} + 4x \: \: \: \: \: \: \: \: \: \: \: \: \: } } \\ \bm{ {x}^{3} - 2 {x}^{2} - 11x - 20} \\ \\ \\$

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