Factorise: 54x2 + 42x3 – 30x4

Question

asked Feb 10, 2023 69.5k views

2 Answers

Sundrah · Answer 1 · 2023-02-17T15:34:21+0000

Answer:

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