Equivalent Forms And Factorization
Bayani Gaba-gaba
The same algebraic expression can be dressed in many different outfits. Written one way it hides its secrets; written another, its key features leap straight out. Factorization is the tool that rewrites an expression in an equivalent form so you can read off what it really does.
In this lesson you will rewrite expressions by factoring out common factors, recognizing the difference of two squares, and factoring quadratics. Each equivalent form reveals something useful: a shared factor, a zero, or a hidden structure that the original expression kept out of sight.
Manufura
- Rewrite expressions in equivalent forms by factorization to reveal and explain properties of the quantity represented.
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- Factor 6x^2 + 9x completely. A. 3(2x^2 + 3x) B. 3x(2x + 3) C. x(6x + 9) D. 3x(2x + 9) Answer: B
- Factor x^2 - 25. A. (x - 5)^2 B. (x - 25)(x + 1) C. (x - 5)(x + 5) D. (x + 5)^2 Answer: C
- Factor x^2 + 5x + 6. A. (x + 1)(x + 6) B. (x + 2)(x + 3) C. (x - 2)(x - 3) D. (x + 5)(x + 1) Answer: B
- The complete factorization of 2x^2 - 8 is: A. 2(x^2 - 4) B. (2x - 4)(x + 2) C. 2(x - 2)(x + 2) D. (x - 2)(2x + 4) Answer: C
- Which form of x^2 + 5x + 6 most directly shows where it equals zero? A. x^2 + 5x + 6 B. (x + 2)(x + 3) C. x(x + 5) + 6 D. 6 + 5x + x^2 Answer: B
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Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Factor Quadratic Trinomials with Leading Coefficient 1
Factor trinomials of the form x 2 + b x + c x 2 + b x + c
"Elementary Algebra: Factor Quadratic Trinomials with Leading Coefficient 1" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/7-2-factor-quadratic-trinomials-with-leading-coefficient-1. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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Sashen littafi
Factor Quadratic Trinomials with Leading Coefficient Other than 1
Recognize a preliminary strategy to factor polynomials completely
"Elementary Algebra: Factor Quadratic Trinomials with Leading Coefficient Other than 1" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/7-3-factor-quadratic-trinomials-with-leading-coefficient-other-than-1. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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