Question

P(x) = 3x3
– 7x2
– 14x + 24

a) P(x) has _______ roots. b) If one of the roots is -2, find the remaining roots.

Answer 1

Answer:

Step-by-step explanation:

a)  P(x) has  3 roots

b)  one root  -2

using synthetic division

we get (3 x² - 13 x + 12) (x +2)

3x² - 13 x +12 = (x - 3 ) ( 3 x - 4 )

∴ the remaining roots are 3  and 4/3