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Write the polynomial in factored form.
x3−3x2−10x
To factor the polynomial x^3 - 3x^2 - 10x, we first look for common factors among the terms. In this case, there is a common factor of x:
x(x^2 - 3x - 10)
Next, we need to factor the quadratic expression inside the parentheses. We are looking for two numbers that multiply to -10 and add up to -3. These numbers are -5 and 2:
x(x - 5)(x + 2)
Therefore, the factored form of the polynomial x^3 - 3x^2 - 10x is x(x - 5)(x + 2).