WebAug 22, 2016 · Explanation: f (x) = (x −1)(x − 2)(x − 3) = x3 − 6x2 + 11x − 6. is a cubic with positive leading coefficient and zeros of multiplicity 1 at x = 1, x = 2 and x = 3. As a result: f (x) is continuous. f (x) is positive for large positive values of x. f (x) is negative for large negative values of x. f (x) changes sign at each of its zeros. Web4 Answers. Factor out the x, getting x ( x 2 − 2 x − 3) = 0 Now one of the factors must be zero. You can use the quadratic formula on the second, or maybe you can factor it by inspection. and hence the roots are x = 0, x = 3, and x = − 1. By inspection factor out x. so ( x + 1) is a factor. Factor this also out, assuming this rule is known.
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