Question

factorise: 8x³- 36x²+54x-19

please answer with steps the person who will give the first correct answer then I will mark you the brainliest ​

Answer 1

Answer:

(2x - 1) (4x² -16x +19)

Step-by-step explanation:

Let f(x) = 8x³- 36x²+54x-19

Write -36x² as a difference and write 54x as a sum

Therefore, f(x)= 8x³- 4x² - 32x² + 16x + 38x - 19

And now factor 4x²and -16x and 19

=4x²( 2x- 1) -16x( 2x - 1) + 19 (2x - 1)

Factor out (2x - 1)

(2x - 1) (4x² -16x +19)

Since 4x² -16x +19 cannot be factorised further, this is the final answer.