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Show how you can rewrite (x+1)(x-2)(x+3) into the form of ax^3 + bx^2 + cx + d

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x²- x - 2, then multiply the result with the third part to get x³ + 2x² - 5x - 6. All that is left now is to solve the equation x³ + 2x² - 5x - 6 = ax³+ bx² + cx + dand you can see that a = 1b = 2c = -5d = -6

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