Question

P(x) = 2x³ + 4x² + 3x+1​

Answer 1

Answer:

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Answer 2

$2{x}^{3} + 4 {x}^{2} + 3x + 1 \\ \\ = > 2 {x}^{3} + (2 {x}^{2} + 2 {x}^{2}) + (2x + x) + 1 \\ \\ = > 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} + 2x + x + 1 \\ \\ = >( 2 {x}^{3} + 2 {x}^{2}) + (2 {x}^{2} + 2x) + (x + 1) \\ \\ = > 2 {x}^{2} (x + 1) + 2x(x + 1) + 1(x + 1) \\ \\ = > (x + 1)(2 {x}^{2} + 2x + 1)$