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MATE-CASOS DE FACTORIZACION 1-5

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Rosytio

The document provides examples of factorizing polynomials by finding their greatest common factor (GCF). It shows factorizing terms with a common factor of (a+1), factorizing the difference of two terms, factorizing a quadratic trinomial by grouping like terms, and factorizing a rational expression.

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MATE-CASOS DE FACTORIZACION 1-5
MATE-CASOS DE FACTORIZACION 1-5
CUANDO TODOS LOS TÉRMINOS DE UN POLINOMIO TIENEN UN FACTOR COMÚN. a2 + 2a= a2 + 2a= a(a+2) R. 2) a(x + 1)+b(x + 1) = a(x + 1)+b(x + 1) = (x + 1) (a + b) R.
ax – 2bx – 2ay + 4by = (ax – 2ay) – (2bx + 4by) = a(x – 2y) -2b(x - 2y) = (x – 2y)(a – 2b) R.
MATE-CASOS DE FACTORIZACION 1-5
4x2 + 25y2 - 20xy Ordenando el trinomio, tenemos: 4x2 - 20xy + 25y2 2x 5y = (2x - 5y)(2x - 5y) = (2x – 5y) 2 R.
216x 4 25y 2
2 4 2 2 2
216x 4 25y = 2)(4x - 5y2) R. (4x + 5y
4 x + 2y2 x 2 x + 4 y 2 y 2 (2)x . 2 y
4 x 2y2 x 4 y + + 2y2 2y2 + x -x 4 + 2x2y2 + y4 - x2y2 x
= 4 (x 2 2x 2 y 4) y 2y2 x + + 2 + y2)2 - x2y2 =(x 2 + y2 + xy)( x2 + y2 - xy) =(x 2 + xy + y2)( x2 – xy + y2)R. =(x
MATE-CASOS DE FACTORIZACION 1-5

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MATE-CASOS DE FACTORIZACION 1-5