Respuesta:
A) x^2+5x+6
= x^2+3x+2x+6
= x(x+3)+2(x+3)
= (x+3)(x+2)
B) x^2-14x+24
= x^2-12x-2x+24
= x(x-12)-2(x-12)
= (x-12)(x-2)
C) x^2+8x+7
= x^2+x+7x+7
= x(x+1)+7(x+1)
= (x+1)(x+7)
D) x^2-9x+14
= x^2-2x-7x+14
= x(x-2)-7(x-2)
= (x-2)(x-7)
A) 2x^2+5x+3
= 2x^2+3x+2x+3
= x(2x+3)+(2x+3)
= (2x+3)(x+1)
B) 2x^2+x-6
= 2x^2-3x+4x-6
= x(2x-3)+2(2x-3)
= (2x-3)(x+2)
C ) 4x^2-4x-3
= 4x^2-6x+2x-3
= 2x(2x-3)+(2x-3)
= (2x-3)(2x+1)
D) 2x^2-x-10
= 2x^2-5x+4x-10
= x(2x-5)+2(2x-5)
= (2x-5)(x+2)
Explicación paso a paso:
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Verified answer
Respuesta:
A) x^2+5x+6
= x^2+3x+2x+6
= x(x+3)+2(x+3)
= (x+3)(x+2)
B) x^2-14x+24
= x^2-12x-2x+24
= x(x-12)-2(x-12)
= (x-12)(x-2)
C) x^2+8x+7
= x^2+x+7x+7
= x(x+1)+7(x+1)
= (x+1)(x+7)
D) x^2-9x+14
= x^2-2x-7x+14
= x(x-2)-7(x-2)
= (x-2)(x-7)
A) 2x^2+5x+3
= 2x^2+3x+2x+3
= x(2x+3)+(2x+3)
= (2x+3)(x+1)
B) 2x^2+x-6
= 2x^2-3x+4x-6
= x(2x-3)+2(2x-3)
= (2x-3)(x+2)
C ) 4x^2-4x-3
= 4x^2-6x+2x-3
= 2x(2x-3)+(2x-3)
= (2x-3)(2x+1)
D) 2x^2-x-10
= 2x^2-5x+4x-10
= x(2x-5)+2(2x-5)
= (2x-5)(x+2)
Explicación paso a paso: