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vikasp99
For any real x, which of the following is equivalent to x^6 + x^5 + x^4?

A. x^4(x^3 + x + 1)

B. x^4(x^2 + 1)

C. x^5(x^2 + x + 1)

D. x^4(x^2 + x + 1)

E. x^3(x^2 + x + 1)

\(x^6 + x^5 + x^4\)

= \(x^4 ( x^2 + x + 1 )\)

Thus, answer must be (D) \(x^4(x^2 + x + 1)\)
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vikasp99
For any real x, which of the following is equivalent to x^6 + x^5 + x^4?

A. x^4(x^3 + x + 1)

B. x^4(x^2 + 1)

C. x^5(x^2 + x + 1)

D. x^4(x^2 + x + 1)

E. x^3(x^2 + x + 1)

We can simplify the given equation by factoring out x^4.

x^4(x^2 + x + 1)

Answer: D
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