Add these polynomials and simplify. enter your response in standard form. (x4 − 9x + 5x7) + (5x − 10 + 3x4 − 2x2)

5x7 + 4x4 - 2x2 - 4x - 10

Step-by-step explanation:

To add both polynomials, there must be a rearrangement of the terms of both polynomials after removing he parenthesis. The rearrangement is such that items are group together based on the power of x. As such,

(x4 − 9x + 5x7) + (5x − 10 + 3x4 − 2x2)

= x4 − 9x + 5x7 + 5x − 10 + 3x4 − 2x2

Rearranging...

= 5x7 + x4 + 3x4 -2x2 - 9x + 5x - 10

simplifying,

= 5x7 + 4x4 - 2x2 - 4x - 10

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