7. Use the distributive property (and your wits!) to write each of the following expressions as a polynomial in standard form.
(u^7+u^3+1)(u-1)(u^5+u^4+u^3+u^2+u+1)

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have an expression:

[tex]= \rm \left(u^7+u^3+1\right)\left(u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]

After using the distributive property and simply it.

[tex]\rm =\left(u^8-u^7+u^4-u^3+u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]

[tex]\rm =u^{13}+u^9-u^7+u^6-u^3-1[/tex]

Thus, the simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.

Learn more about Polynomial here:

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7. Use the distributive property (and your wits!) to write each of the following expressions as a polynomial in standard form. (u^7+u^3+1)(u-1)(u^5+u^4+u^3+u^2+u+1)

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What is polynomial?

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7. Use the distributive property (and your wits!) to write each of the following expressions as a polynomial in standard form.
(u^7+u^3+1)(u-1)(u^5+u^4+u^3+u^2+u+1)