Question

Factoriza las expresiones algebraicas siguientes:

- 7x + 5x - 4x =
17x2 + 34x3 - 51x4 =
10x4 + 120x3 + 5x2 + 5x=

Ayúdenme jejeje :(

Answer 1

Respuesta:

- 7x + 5x - 4x =

x ( -7 + 5 - 4) =

-6x

17x² + 34x³ - 51x⁴ =

17x² ( 1 + 2x - 3 x²)

10x⁴ + 120x³ + 5x² + 5x=

5x ( 2x³ + 24x² + x + 1)

Answer 2

$a) \: \: - 7x + 5x - 4x \\ = x( - 7 + 5 - 4)\\ = x( - 6) \\ = - 6x \\ \: \:$

$b) \: \: \: 17 {x}^{2} + 34 {x}^{3} - 51 {x}^{4} \\ = (17 {x}^{2}) + (17 {x}^{2} )( 2 x) - (17 {x}^{2} )(3 {x}^{2)} \\ = (17 {x}^{2} )(1 + 2x + 3 {x}^{2} )$

$c) \: \: 10 {x}^{4} + 120 {x}^{3} + 5{x}^{2} + 5x \\ = (5x)(2 {x}^{3} ) + (5x)(24 {x}^{2} ) + (5x)(x) + (5x) \\ = (5x)(2 {x}^{3} + 24 {x}^{2} + x + 1)$