Question

What must be added to get 6x^3 + x^2 + x + 9 with x^3 - x^2 - x - 9​

Answer 1

Assume, A as the required polynomial which when added to get 6x³ + x² + x + 9 result as x³ - x² - x - 9

Now,

$\small \rm \{6x^3 + x^2 + x + 9 \}+ A = (x^3 - x^2 - x - 9) \\ \\ \rm\huge \to \: \: \green A \: \: \implies \\ \tt (x^3 - x^2 - x - 9) - \{6x^3 + x^2 + x + 9 \} \\ \tt x^3 - x^2 - x - 9 - {6x}^{3} - {x}^{2} - x - 9 \\ \tt{x}^{3} - {6x}^{3} - {x}^{2} - {x}^{2} - x - x - 9 - 9 \\ \tt \red{ \: \: { - 5x}^{3} - {2x}^{2} - 2x - 18}$

Hence,

• Required term is -5x³ -2x² -2x -18

Answer 2

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