Which of the following polynomial is the quotient when 2x3 + 2x2

Questions

kiethSaunder @kiethSaunder

October 2022 1 2 Report

Which of the following polynomial is the quotient when 2x3 + 2x2 - 10x + 6 is divided
by x + 3?

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Jinjinjjara

Verified answer

Answer:

Quotient: 2x² - 4x + 2

Step-by-step explanation:

$\\ \red{ \sf{} 2 {x}^{2} - 4x + 2} \\ \sf{}x + 3 \: \overline{| \: 2 {x}^{3} + 2 {x}^{2} - 10x + 6 \: \: } \\ \sf{} \underline{2 {x}^{3} + 6 {x}^{2} } \: \: \: \: \: \: \: \: \\ \sf{} - 4 {x}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \sf{} \underline{ - 4 {x}^{2} - 12x}\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{}2x\\ \sf{} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{2x + 6}\\ \qquad \qquad \qquad \qquad \qquad\sf{}0 \\ \\ \\ \\$

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kiethSaunder thank you so much sir but I have many problems need to answer by the way i'm just helping my nephew sir to his modules

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Answers & Comments

Verified answer

Quotient: 2x² - 4x + 2

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