Answer:
5x(x^2 + 6x - 2)
Explanation:
The common factor of the terms in the polynomial 5x^3 + 30x^2 - 10x is 5x. To factor the polynomial, we can factor out this common factor:
5x(x^2 + 6x - 2)
The expression x^2 + 6x - 2 is a quadratic trinomial that can be factored further using techniques such as factoring by grouping, completing the square, or using the quadratic formula. However, since the question only asks to factor the polynomial, we can leave the expression in factored form as:
5x(x^2 + 6x - 2)