Question

−3a(a 2 −10a+25)= write in polynomial form

Answer 1

To express the equation −3a(a2 −10a+25) in polynomial form, distribute the −3a across each term within the parentheses to obtain −3a3 + 30a2 −75a.

Step-by-step explanation:

The equation given is −3a(a2 −10a+25), which represents a polynomial that needs to be expanded. The first step is to distribute the −3a across the terms within the parentheses, which will give us −3a multiplied by each term. So it becomes −3a×a2 - −3a×10a + −3a×25. Working through each term, we obtain −3a3, +30a2, and −75a.

The final polynomial form of the equation, after combining these terms, is −3a3 + 30a2 −75a. This expanded form allows us to see the polynomial in standard form, where each term is in decreasing order of power.