Math Problem Statement
Which expression is the product of (4x + 3) and (x2 + 7x − 2)
Solution
To find the product of the expressions and , we need to distribute each term in the first expression to each term in the second expression.
Here’s the step-by-step process:
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Distribute to each term in :
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Distribute to each term in :
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Combine all the terms together:
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Combine like terms:
So, the product of and is:
Would you like more details or have any questions? Here are some questions you might want to ask:
- How do you factor polynomial expressions?
- Can you explain the distributive property in algebra?
- What are like terms and how do you combine them?
- How do you solve quadratic equations?
- What is the difference between polynomial and rational expressions?
Tip: When multiplying polynomials, always ensure to distribute each term in the first polynomial to every term in the second polynomial to avoid missing any terms.
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Math Problem Analysis
Mathematical Concepts
Polynomials
Algebra
Formulas
Distributive property
Theorems
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Suitable Grade Level
Grades 7-9