2a)
To verify, set the factors to zero.
(x - 2) = 0, x = 2
(x + 3) = 0, x = -3
Insert zero's in the equation:
<u>when x = 2</u>
3(2)³ + 2(2)² - 19(2) + 6 = 0
<u>when x = -3</u>
3(-3)³ + 2(-3)² - 19(-3) + 6 = 0
Hence verified the factors.
2b)



The remaining factor is (3x - 1)
2c)
Set the factors to zero to find real zeros of f
2d)
<u>Complete factorization</u>: (3x - 1)(x - 2)(x + 3)