Question

factorise
$2x {}^{3} - 3x {}^{2} - 17x + 30$
​

Answer 1

Answer:

Step-by-step explanation:

Using synthetic division:

2  )  2     -3    -17    30

              4       2   -30

      2      1      -15    0

2x³ - 3x² - 17x + 30 = (x-2)(2x²+x-15)

= (x-2)(2x²+6x-5x-15)

= (x-2)(2x(x+3)-5(x+3))

= (x-2)(2x-5)(x+3)