Question

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

Answer 1

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