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The problem from the image you uploaded is written in Indonesian and translates roughly to:

"A cubic polynomial, when divided by \( x^2 + x - 2 \), gives a remainder of \( 2x - 1 \). When divided by \( x^2 + x - 3 \), it gives a remainder of \( 3x - 3 \). What is the polynomial?"

This is a problem involving polynomial division with remainders. Here's the approach to solve it:

### Let the cubic polynomial be \( P(x) \).
We know that:

1. When divided by \( (x^2 + x - 2) \), the remainder is \( 2x - 1 \). This means:
   \[
   P(x) = (x^2 + x - 2) \cdot Q_1(x) + (2x - 1)
   \]
   where \( Q_1(x) \) is the quotient when dividing \( P(x) \) by \( (x^2 + x - 2) \).

2. When

Suku banyak berderajat 3, jika dibagi (x^2 + x - 2) bersisa (2x - 1). Jika dibagi (x^2 + x - 3) bersisa (3x - 3). Suku banyak tersebut adalah?

Discover how to solve a problem involving the division of a cubic polynomial by quadratic divisors, yielding specific remainders. This problem demonstrates key algebraic concepts like polynomial division and the remainder theorem, perfect for high school students in Grades 10-12.

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