Question

Factorise: 54x2 + 42x3 – 30x4

Answer 1

Answer:

Check the attachment above

Answer 2

Answer:

Answer: x²(5 + 42x - 30x²)

Step-by-step explanation:

${ \tt{ {5x}^{2} + {42x}^{3} - {30x}^{4} }}$

» First factorise out x²:

$= { \tt{ {x}^{2}(5 + 42x - 30 {x}^{2} )}}$

» Then factorise the second bracket using quadratic knowledge:

${ \tt{ = {x}^{2}(5 + 42x - 30 {x}^{2} )}}$

» The second bracket can not be factorised further because its roots/zeros are not whole numbers