f(x)=-2x^3+2x^2+12x eching | Microsoft math hal qiluvchi

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Polynomial

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

https://socratic.org/questions/is-f-x-2x-3-2x-2-x-2-increasing-or-decreasing-at-x-0

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https://socratic.org/questions/what-are-the-zeros-of-the-polynomial-function-f-x-2x-3-10x-2-12x

https://socratic.org/questions/how-do-you-use-synthetic-substitution-to-find-f-1-i-for-f-x-x-3-2x-2-3x-5

https://socratic.org/questions/what-is-the-leading-term-leading-coefficient-and-degree-of-this-polynomial-f-x-2

Baham ko'rish

Klipbordga nusxa olish

2\left(-x^{3}+x^{2}+6x\right)

2 omili.

x\left(-x^{2}+x+6\right)

Hisoblang: -x^{3}+x^{2}+6x. x omili.

a+b=1 ab=-6=-6

Hisoblang: -x^{2}+x+6. Ifodani guruhlash orqali faktorlang. Avvalo, ifoda -x^{2}+ax+bx+6 sifatida qayta yozilishi kerak. a va b ni topish uchun yechiladigan tizimni sozlang.

-1,6 -2,3

ab manfiy boʻlganda, a va b da qarama-qarshi belgilar bor. a+b musbat boʻlganda, musbat sonda manfiyga nisbatdan kattaroq mutlaq qiymat bor. -6-mahsulotni beruvchi bunday butun juftliklarni roʻyxat qiling.

-1+6=5 -2+3=1

Har bir juftlik yigʻindisini hisoblang.

a=3 b=-2

Yechim – 1 yigʻindisini beruvchi juftlik.

\left(-x^{2}+3x\right)+\left(-2x+6\right)

-x^{2}+x+6 ni \left(-x^{2}+3x\right)+\left(-2x+6\right) sifatida qaytadan yozish.

-x\left(x-3\right)-2\left(x-3\right)

Birinchi guruhda -x ni va ikkinchi guruhda -2 ni faktordan chiqaring.

\left(x-3\right)\left(-x-2\right)

Distributiv funktsiyasidan foydalangan holda x-3 umumiy terminini chiqaring.

2x\left(x-3\right)\left(-x-2\right)

Toʻliq ajratilgan ifodani qaytadan yozing.