To show that x = -3 is a solution of the given equation, divide f(x) = x -37x - 84 by (x + 3) using synthetic division. Because the divisor is (x +3), we perform synthetic division with k = -3. Note that a zero is included for the missing x2-term in the dividend. Now use the synthetic division pattern by adding terms in columns and multiplying the results by -3, and examining the remainder. -3 1 -37 -84 -3 9. 1 -3

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