Question

Which of the following is the simplified form of −10x3+20x2+4x5x ?(1 point) Responses −5x4+15x2+45x2 negative 5 x to the 4th power plus 15 x squared plus 4 fifths x squared −2x4+4x2+45x2 negative 2 x to the 4th power plus 4 x squared plus 4 fifths x squared −2x2+4x+45 negative 2 x squared plus 4 x plus 4 fifths −5x2+15x+45

Answer 1

Let's simplify the expression \(-10x^3 + 20x^2 + 4x + 5x\).

First, combine like terms. The term \(5x\) is already in the first degree and it appears there are no other single \(x\) terms, so we keep it as \(5x\).

The expression does not have any like terms for \(x^3\), so we keep \(-10x^3\) as is.

For \(x^2\), we have \(20x^2\) and no other \(x^2\) terms, so it remains \(20x^2\).

Therefore, combining these gives:

\[ -10x^3 + 20x^2 + 5x \]

This expression doesn't seem to match any of the response options you've given. It appears the expression might have been misinterpreted or not expressed entirely correctly.

However, if you meant the expression to be more complex with additional powers of \(x\), please clarify or check the expression. In mathematical terms, the simplification is complete as shown above.