The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing it by (x+2). What is the rest if p(x) is divided by (x^3+4x^2+x-6)?

Q: Use synthetic division to perform the division.   x^3+5x^2+8x+6 over x+3

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Q: Own

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A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.