Question

b) Factorizar los siguientes trinomios de la forma ax2+- bx+- c 1. 3x2+8x+4 2. 4x2-7x-2 3. 5x2-x-6 4. 3x2-10x-8 5. 10x2-9x-9 6. 7x2-23x+6 7. 21x2 +11x -2​

Answer 1

Respuesta:

3x^2+8x+4

= 3x^2+2x+6x+4

= x(3x+2)+2(3x+2)

= (3x+2)(x+2)

4x^2-7x-2

= 4x^2+x-8x-2

= x(4x+1)-2(4x+1)

= (4x+1)(x-2)

5x^2-x-6

= 5x^2-6x+5x-6

= x(5x-6)+(5x-6)

= (5x-6)(x+1)

3x^2-10x-8

= 3x^2-4x-6x-8

= x(3x-4)+2(3x-4).

= (3x-4)(x+2)

10x^2-9x-9

= 10x^2-15x+6x-9

= 5x(2x-3)+3(2x-3)

= (2x-3)(5x+3)

7x^2-23x+6

= 7x^2-2x-21x+6

= x(7x-2)-3(7x-2)

= (7x-2)(x-3)

21x^2+11x-2

= 21x^2+14x-3x-2

= 7x(3x+2)-(3x+2)

= (3x+2)(7x-1)

Explicación paso a paso: