f(x)=3x^2+x-4x^3 eching | Microsoft math hal qiluvchi

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Baham ko'rish

Klipbordga nusxa olish

x\left(3x+1-4x^{2}\right)

x omili.

-4x^{2}+3x+1

Hisoblang: 3x+1-4x^{2}. Polinomni standart shaklga keltirish uchun uni qayta tartiblang. Shartlarni eng yuqoridan eng pastki qiymat ko'rsatgichiga joylashtirish.

a+b=3 ab=-4=-4

Ifodani guruhlash orqali faktorlang. Avvalo, ifoda -4x^{2}+ax+bx+1 sifatida qayta yozilishi kerak. a va b ni topish uchun yechiladigan tizimni sozlang.

-1,4 -2,2

ab manfiy boʻlganda, a va b da qarama-qarshi belgilar bor. a+b musbat boʻlganda, musbat sonda manfiyga nisbatdan kattaroq mutlaq qiymat bor. -4-mahsulotni beruvchi bunday butun juftliklarni roʻyxat qiling.

-1+4=3 -2+2=0

Har bir juftlik yigʻindisini hisoblang.

a=4 b=-1

Yechim – 3 yigʻindisini beruvchi juftlik.

\left(-4x^{2}+4x\right)+\left(-x+1\right)

-4x^{2}+3x+1 ni \left(-4x^{2}+4x\right)+\left(-x+1\right) sifatida qaytadan yozish.

4x\left(-x+1\right)-x+1

-4x^{2}+4x ichida 4x ni ajrating.

\left(-x+1\right)\left(4x+1\right)

Distributiv funktsiyasidan foydalangan holda -x+1 umumiy terminini chiqaring.

x\left(-x+1\right)\left(4x+1\right)

Toʻliq ajratilgan ifodani qaytadan yozing.