Question

Which polynomial correctly combines the like terms and puts the given polynomial in standard form?

x+8x²-x²-x
084-32²-x
08x²+2x²+2x
084-32²-3x
084-32²-x

Answer 1

Given:

given polynomial is

`(1)/(3)x+8x^4-(2)/(3)x^2-x`

Find:

we have to simplify given polynomial by combining like terms.

Step-by-step explanation:

`\begin{gathered} (1)/(3)x+8x^4-(2)/(3)x^2-x=8x^4-(2)/(3)x^2-x+(1)/(3)x \\ =8x^4-(2)/(3)x^2-x(1-(1)/(3)) \\ =8x^4-(2)/(3)x^2-x((2)/(3)) \\ =8x^4-(2)/(3)x^2-(2)/(3)x \end{gathered}`