If divided by (x - 3) the polynomials x ^ 3 - k * x ^ 2 + 6 and 2x ^ 3 - x ^ 2 + (k + 3) - 6 leave the same remainder. Find the value of k.

To solve for \( k \) such that the polynomials \( x^3 - kx^2 + 6 \) and \( 2x^3 - x^2 + (k + 3)x -

Discover how to solve a polynomial division problem where two polynomials leave the same remainder when divided by (x - 3). Explore the relationship between polynomials and find the value of k that satisfies the condition. Suitable for high school students studying advanced algebra.

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