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(x + 4) adalah faktor, maka f(x) dibagi (x + 4) bersisa 0
f(-4) = 0
2(-4)³ + p(-4)² - 10(-4) - 24 = 0
2(-64) + p(16) + 40 - 24 = 0
-128 + 16p +40 - 24 = 0
-112 + 16p = 0
16p = 112
p = 7
maka,
f(x) = 2x³ + 7x² - 10x - 24
cari akar yg lain dgn cara Horner:
-4 | 2 7 -10 -24
| -8 4 24 +
2 -1 -6 0
f(x) dibagi (x + 4) hasilnya: 2x² - x - 6
(2x + 3) (x - 2)
jadi, faktor yg lain adalah (2x + 3) dan (x - 2)
semoga membantu ya :)