What is the quotient and remainder f ths? (4x³+x2-6x+2)÷(x-1). Created by nlex866. Math

Answer:Qoutient: 4x² + 6xRemainder: 2Step-by-step explanation:Check to verify:☑ #CarryOnLearning ❤️

What is the quotient and remainder f ths? (4x³+x2-6x+2)÷(x-1)...

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nlex866 @nlex866

October 2022 1 3 Report

What is the quotient and remainder f ths? (4x³+x2-6x+2)÷(x-1)

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Jinjinjjara

Verified answer

Answer:

Qoutient: 4x² + 6x

Remainder: 2

Step-by-step explanation:

$\\ \: \: \: \red{ \sf{}4 {x}^{2} \: \: \: + 6x} \: \: \: \: \: \: \: \\ \sf{}x - 1 \overline{)4 {x}^{3} + {x}^{2} - 6x + 2} \\ \underline{ \sf{4 {x}^{3} - 4 {x}^{2} }} \: \: \: \\ \: \: \: \: \: \: \: \: \: \sf{}6 {x}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{\sf{6 {x}^{2} - 6x}}\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\sf{}2} \\ \\ \\$

Check to verify:

$\\ \: \: \: \: \sf{}4 {x}^{2} + 6x\\ \underline{\sf{ \times \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 1 \: }}\\ \: \: \: \: \sf{} - 4 {x}^{2} - 6x\\ \underline{\sf{4 {x}^{3} + 6 {x}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: }\\ \sf{}4 {x}^{3} + 2 {x}^{2} - 6x\\ \underline{\sf{} \: \: + \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2}\\ \sf{} \blue{4 {x}^{3} + {x}^{2} - 6x + 2 } \\ \\ \\$