Find the remainder when the function f(x)=x^3-4x^2+12 is divided by (x+2).

Micheal Mcconnell

Micheal Mcconnell

Answered question

2023-03-14

Find the remainder when the function f ( x ) = x 3 - 4 x 2 + 12 is divided by (x+2).

Answer & Explanation

argueiro6rn

argueiro6rn

Beginner2023-03-15Added 3 answers

x 3 - 4 x 2 + 12 = g ( x ) ( x + 2 ) + r
x = - 2 , ( - 2 ) 3 - 4 ( - 2 ) 2 + 12 = g ( x ) ( ( - 2 ) + 2 ) + r
- 12 = 0 + r
r = - 12
6 4 = 1 + remaidr 2
4 × 1 + 2 = 6
Paxton Houston

Paxton Houston

Beginner2023-03-16Added 5 answers

here ( x - a ) = ( x - ( - 2 ) ) a = - 2
f ( - 2 ) = ( - 2 ) 3 - 4 ( - 2 ) 2 + 12 = - 12

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