Question

4. Fatore os polinômios: a. x^2-6x b.4x^3-10x c. X^6-169 d.X^2-20X+100 e. Xy-5x+4y-20 f. Y^3-9y * ​

Answer 1

a)

${x}^{2} - 6x = x(x - 6)$

b)

$4 {x}^{3} - 10x = 2x(2 {x}^{2} - 5)$

c)

${x}^{6} - 169 = { ({x}^{3} )}^{2} - {13}^{2} = ( {x}^{3} + 13)( {x}^{3} - 13)$

d)

${x}^{2} - 20x + 100 \\ {x}^{2} - (2 \times 10\times x) + {10}^{2} \\ {(x - 10)}^{2}$

e)

$xy - 5x + 4y - 20 \\ x(y - 5) + 4(y - 5) \\ (y - 5)(x + 4)$

f)

${y}^{3} - 9y \\ y( {y}^{2} - 9) \\ y \times (y + 3) \times (y - 3)$