Math Problem Statement
Find the continued product of (x - 1)(x^2 + 1).
Solution
The question asks to find the "continued product" of the given expression .
Solution:
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Expand the expression using the distributive property:
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Simplify each term:
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Combine all terms:
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Rearrange in standard polynomial form:
Final Answer:
The expanded product is:
Would you like further clarification or examples?
Related Questions:
- What is the continued product of ?
- How can you verify the result of a polynomial multiplication?
- What are the steps for expanding ?
- What is the degree of the resulting polynomial in this question?
- How does the distributive property help in polynomial multiplication?
Tip:
When expanding products of polynomials, ensure each term in the first polynomial multiplies with every term in the second.
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Math Problem Analysis
Mathematical Concepts
Polynomial Multiplication
Algebra
Distributive Property
Formulas
(a + b)(c + d) = ac + ad + bc + bd
Theorems
Distributive Property of Multiplication over Addition
Suitable Grade Level
Grade 7