Question

which of the following represents the difference of the polynomial below? (x^4+8x^3+9x^2)-(5x^4+4x^3+2x^2)A. 5x^4+12x^3+11x^2B.-4x^4+12x^3+11x^2C.4x^4+4x^3+7x^2D.-4x^4+4x^3+7x^2

Answer 1

D. -4x^4+4x^3+7x^

x^4+8x^3+9x^2-(5x^4+4x^3+2x^

distribute the negative to the whole second equation

x^4+8x^3+9x^2-5x^4-4x^3-2x^2

combine like terms and the answer is

Explanation:

Answer 2

Given:

The objective is to find the difference between the polynomial equations (x^4+8x^3+9x^2)-(5x^4+4x^3+2x^2)​.

The difference can be calculated as,

`\begin{gathered} =(x^4+8x^3+9x^2)-(5x^4+4x^3+2x^2) \\ =x^4+8x^3+9x^2-5x^4-4x^3-2x^2 \\ =x^4-5x^4+8x^3-4x^3+9x^2-2^2 \\ =-4x^4+4x^3+7x^2 \end{gathered}`

Hence, option (d) is the correct answer.