Assalamualaikum dan selamat malam Kakak kakak Brainly Saya mau tanya nih soal Turunan matematika. Mohon jawabannya ya 1. Suku banyak (x^2 + x - 2) adalah faktor

Bab Polinomial
Matematika SMA Kelas XI

✩ Ralat soal, x^4 - 5x^3 - px² + 22x - q ✩

x² + x - 2
= (x + 2) (x - 1)
x = - 2 atau x = 1

f(x) = x^4 - 5x^3 - px² + 22x - q

f(-2) = (-2)^4 - 5 (-2)^3 - (-2)² . p + 22 (-2) - q = 0
16 + 40 - 4p - 44 - q = 0
-4p - q = -12

f(1) = 1^4 - 5 . 1^3 - 1² . p + 22 . 1 - q = 0
1 - 5 - p + 22 - q = 0
-p - q = -18

-4p - q = -12
-p - q = -18
------------------ -
- 3p = 6
p = -2

-p - q = - 18
- (-2) - q = - 18
- q = - 18 - 2
- q = - 20
q = 20

jadi, p = -2 dan q = 20

◎◎ A ◎◎

Langsung aja y

(x²+x-2) → (x - 1)(x + 2)

untuk x = 1
(1)⁴ - 5(1)³ - p(1)² + 22(1) - q = 0
1 - 5 - p + 22 - q = 0
-p - q = -1 + 5 - 22
-p - q = -18

untuk x = -2
(-2)⁴ - 5(-2)³ - p(-2)² + 22(-2) - q = 0
16 + 400 - 4p - 44 - q = 0
-4p - q = -16 - 40 + 44
-4p - q = -12

-p - q = -18
-4p - q = -12
__________-
3p = -6
p = -2

-p - q = -18
q = 18 - p
q = 18 - (-2)
q = 18 + 2
q = 20

p = -2
q = 20

jawabannya A

semoga berguna +_+