6x^2(x - 7)(x + 2)
To factor the polynomial 6x^4 - 30x^3 - 84x^2, you can first factor out the greatest common factor of 6x^2 to get: 6x^2(x^2 - 5x - 14) Next, you can factor the quadratic expression inside the parentheses using techniques such as factoring by grouping or using the quadratic formula. In this case, the expression factors as: 6x^2(x - 7)(x + 2)
So the fully factored form of the polynomial is: 6x^2(x - 7)(x + 2)