Question

Express the quotient as a polynomial in x using synthetic division p(x) =x³ +6x² +2x -12 divided by x+2

Answer 1

Step-by-step explanation:

$p(x) = {x}^{3} + 6 {x}^{2} + 2x - 12 \\ p(2) = {2}^{3} + 6 \times {2}^{2} + 2 \times 2 - 12 \\ = 8 + 6 \times 4 + 4 - 12 \\ = 8 + 24 + 4 - 12 \\ = 32 + 8 \\ = 40$

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