Question

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Answer 1

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SOLUCIÓN :

7) Factorizar los trinomios de la forma ax2+bx +c  con a> 1:

   a) 2x2 -3x-20 = 2* ( 2x2 - 3x -20)/2 =( 4x2 - 3(2x ) - 40)/2 = ( 2x - 8 )* (2x+5   )/2  = 2(x -4)( 2x+5 )/2 = ( x - 4)* ( 2x+5 ).

   b) 3x2 -7x+4 = 3* ( 3x2 -7x + 4)/3 = (9x2 -7(3x) + 12)/3 = (3x -4 )(3x -3 )/3 = (3x-4)*3( x-1)/3 = ( 3x-4)( x-1 )

   c) 2x2-13x+15 = 2*( 2x2-13x+15)/2 = ( 4x2 -13(2x)+30(/2 =( 2x -10  )(2x-3 )/2 = 2(x -5)(2x-3)/2 = ( x-5)(2x-3)

   d) 4y2-y -3 = 4*(4y2 -y -3)/4 = (16y2 - (4y) -12 )/4 = ( 4y -4 )(4y +3 )/4=4(y-1)(4y+3)/4 = (y-1) (4y +3 ).

    e) 6x2+7x -5 = 6*( 6x2 + 7x -5)/6 = ( 36x2 +7(6x) -30)/6 = ( 6x +10  )(6x -3)/6 = 2( 3x+5)*3(2x -1)/6 = ( 3x+5 )( 2x-1)

    f) 3x2-14x+8 = 3*(3x2-14x+8)/3 = (9x2-14(3x)+24)/3= (3x-12)(3x-2)/3 = 3(x-4)(3x -2)/3 = (x-4)(3x-2) .

    g) 3p2+7p-6 = 3* ( 3p2 +7p -6 )/3 = (9p2 +7(3p)-18)/3 = (3p+9 )(3p - 2 )/3= 3( p +3)(3p-2)/3 = (p+3)( 3p-2)

     h) 9x2+6x-8 = 9* ( 9x2 + 6x -8) /9  = (81x2+ 6( 9x) - 72)/9= (9x +12 )(9x -6 ) /9    =3(3x+4)*3(3x-2)/9 = (3x+4)(3xd-2)

   8) At=?  V=?

    At= 2*4cm*6cm+ 2*6cm*3 cm+2* 3cm*4 cm= 108 cm²

  V = 4 cm * 6 cm*3 cm = 72 cm³

 At= 15cm *4 cm +2* 3cm * 4cm /2 +2 cm* 5cm* 15 cm =222 cm²

   V = 15 cm *4 cm *3 cm /2= 90 cm³

   At = 6* a*L/2 = 3*a*L = 3*3.6m * 4m = 43.2 m²

   V= 3*a*L*h= 3* 3.6 m*4m*8m= 345.6 m³