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2 votes
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

2 Answers

4 votes

Answer:

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:

User Asutosh
by
4.5k points
3 votes

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.

User Benno Kress
by
5.5k points
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