Factoriza los siguientes trinomios 1.3x2 + 7x + 2 2. 12m2 + 14m - 10 3.5m2+ 4m - 1 4.3s2 - 14s + 8 5.6 -- 5xy - 4x2 6.4a2+ a-5
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Respuesta:
3x^2-7x+2 = ( 3x-1 )( x-2 )
3x^2-7x+2
= 3x^2-x-6x+2
= x(3x-1)-2(3x-1)
= (3x-1)(x-2)
12m^2+14m-10 = (2m-1)(6m+10)
12m^2+14m-10
= 12m^2-6m+20m-10
= 6m(2m-1)+10(2m-1)
= (2m-1)(6m+10)
5m^2+4m-1 = (5m-1)(m+1)
5m^2+4m-1
= 5m^2-m+5m-1
= m(5m-1)+(5m-1)
= (5m-1)(m+1)
3s^2-14s+8 = (3s-2)(s-4)
3s^2-14s+8
= 3s^2-2s-12s+8
= s(3s-2)-4(3s-2)
= (3s-2)(s-4)
6-5x-4x^2 = -(6-5x-4x^2)
6-5x-4x^2 = -6+5x+4x^2
6-5x-4x^2 = 4x^2+5x-6
6-5x-4x^2 = -((-3+4x)(2+x))
4x^2+5x-6
= 4x^2-3x+8x-6
= x(4x-3)+2(4x-3)
= (4x-3)(x+2) ó -((-3+4x)(2+x))
4a^2+a-5 = (4a+5)(a-1)
4a^2+a-5
= 4a^2+5a-4a-5
= a(4a+5)-(4a+5)
= (4a+5)(a-1)
Explicación paso a paso:
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