High School

Add:
\[ (6x^7 - 7x^4 + 7x^2 + 9) + (2x^6 + 4x^4 - 6x) + (-4x^4 + 9x^2 + 6x - 7) \]

The answer is:

A. \( 6x^7 + 2x^6 - 3x^4 + 16x^2 + 5 \)
B. \( 8x^7 + 2x^6 - 6x^4 + 16x^2 + 8 \)
C. \( 8x^7 - x^6 - 3x^4 + 16x^2 + 5 \)
D. \( 4x^7 - 3x^6 - 6x^4 + 16x^2 - 4 \)

Answer :

Final answer:

The expression is simplified by combining like terms and adding the coefficients of the same power of x, and the answer is ( 6x⁷ + 2x⁶ - 7x⁴ + 16x² + 2) and hence none of the options are correct.

Explanation:

We are asked to add: (6x⁷ - 7x⁴ + 7x² + 9) + (2x⁶ + 4x⁴ - 6x) + (-4x⁴ + 9x² + 6x - 7)

  1. Combine like terms by adding the coefficients of the same power of x.
  2. Perform the addition and simplify the expression.
  3. The answer is (6x⁷ + 2x⁶ - 7x⁴ + 16x² + 2).

To simplify an expression involving adding multiple polynomial terms, we need to combine like terms. This means adding the coefficients of the same power of x.

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