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Answer :
Let the adding polynomial be y
[tex]\\ \sf\longmapsto (5 {x}^{3} - 2 {x}^{2} + 3x + 7) + y = {7x}^{3} + 7x + 5 \\ \\ \sf\longmapsto {5x}^{3} - 2 {x}^{2} + 3x + 7 + y = {7x}^{3} + 7x + 5 \\ \\ \sf\longmapsto y = 7x {}^{3} - {5x}^{3} + 2x {}^{2} + 7x - 3x + 5 - 7 \\ \\ \sf\longmapsto {2x}^{3} + {2x}^{2} + 4x - 2[/tex]
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Rewritten by : Barada
Answer:
[tex]\dashrightarrow \: { \tt{-(5 {x}^{3} - 2 {x}^{2} + 3x + 7) + ( {7x}^{3} + 7x - 5) }} \\ \\ \dashrightarrow \: { \tt{(7-5) {x}^{3} + 2 {x}^{2} + (7-3)x + (-5-7) }} \\ \\ \dashrightarrow \: { \tt{ {2x}^{3} +2 {x}^{2} + 4x -12}}[/tex]
