Math Problem Statement
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?
Solution
The problem from the image you uploaded is written in Indonesian and translates roughly to:
"A cubic polynomial, when divided by , gives a remainder of . When divided by , it gives a remainder of . 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 .
We know that:
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When divided by , the remainder is . This means: where is the quotient when dividing by .
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When
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Math Problem Analysis
Mathematical Concepts
Polynomial Division
Remainder Theorem
Formulas
P(x) = (x^2 + x - 2) * Q1(x) + (2x - 1)
P(x) = (x^2 + x - 3) * Q2(x) + (3x - 3)
Theorems
Polynomial Remainder Theorem
Suitable Grade Level
Grades 10-12