Find-the quotient of 6t^3+15t^2-15t divided by -3 Answer Attemptiout of 2 square

To find the quotient of the polynomial \(6t^3 + 15t^2 - 15t\) divided by \(-3\), we need to divide each term of the polynomial by \(-3\).<br /><br />Let's perform the division step by step:<br /><br />1. Divide the first term: \(\frac{6t^3}{-3} = -2t^3\)<br />2. Divide the second term: \(\frac{15t^2}{-3} = -5t^2\)<br />3. Divide the third term: \(\frac{-15t}{-3} = 5t\)<br /><br />So, the quotient of \(6t^3 + 15t^2 - 15t\) divided by \(-3\) is:<br /><br />\[<br />-2t^3 - 5t^2 + 5t<br />\]<br /><br />Thus, the final answer is:<br /><br />\[<br />\boxed{-2t^3 - 5t^2 + 5t}<br />\]