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Following expression as a simplified polynomial in standard 3(x-4)^(2)-2(x-4)+4

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Final answer:

The simplified polynomial in standard form of the expression
3(x-4)^(^2^)-2(x-4)+4   is    3x^2 - 26x + 60.

Step-by-step explanation:

To simplify the polynomial
3(x-4)^(^2^)-2(x-4)+4, we first expand the binomial
(x-4)^(2).

This gives us x^2 - 8x + 16. Therefore, the expression now becomes
3(x^2 - 8x + 16) - 2x + 8 + 4.

Simplifying this further, we distribute the 3 to each term in the parenthesis, giving us
3x^2 - 24x + 48 - 2x + 8 + 4.

Simplified, this results in
3x^2 - 24x + 60.

Our final simplified polynomial in standard form is thus
3x^2 - 26x + 60.

Learn more about Simplifying Polynomials

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