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Questions and Answers
Which of the following is the process of factoring a monomial from a polynomial?
Which of the following is the process of factoring a monomial from a polynomial?
What are the factors of the monomial 10x^4?
What are the factors of the monomial 10x^4?
What is the greatest common factor of the constants 30 and 42?
What is the greatest common factor of the constants 30 and 42?
What is the greatest common factor of the variable terms x^3 and x^4?
What is the greatest common factor of the variable terms x^3 and x^4?
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What is the result of factoring out the greatest common factor from the polynomial 10x^3 + 15x^2?
What is the result of factoring out the greatest common factor from the polynomial 10x^3 + 15x^2?
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Study Notes
Factoring Monomials from Polynomials
- Factoring a monomial from a polynomial involves identifying a common factor and rewriting the polynomial as a product of that factor and a simplified polynomial.
Factors of the Monomial 10x^4
- The factors include 1, 2, 5, 10 (numerical factors) and x, x^2, x^3, x^4 (variable factors).
- The full factorization of 10x^4 is 10 * x * x * x * x.
Greatest Common Factor of 30 and 42
- The greatest common factor (GCF) for 30 and 42 is 6.
- GCF is determined by identifying the largest number that divides both constants without leaving a remainder.
Greatest Common Factor of x^3 and x^4
- The GCF of the variable terms x^3 and x^4 is x^3.
- This is because x^3 is the lowest power of the variable common to both terms.
Factoring Out the Greatest Common Factor from 10x^3 + 15x^2
- The GCF of the terms 10x^3 and 15x^2 is 5x^2.
- Factoring 5x^2 out of the polynomial gives the result: 5x^2(2x + 3).
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Description
Test your knowledge on perfect square binomials with this quiz! Learn about the definition, formula, and examples of perfect square binomials.
