Question

Factorise: 54x2 + 42x3 – 30x4

Answer 1

Check the attachment above

Answer 2

Answer: x²(5 + 42x - 30x²)

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