#2 Form of partial fractions. 3x+1 A G-2)(x243) X-2 Bx +C x² +3 Find Constants A, B, and C

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter7: Polynomial Equations And Factoring
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#2 Form of partial fractions.
3x +1
A
xong cong C
Let x-1
Bx +C
(x-2)(x2+3)
X-2
x² +3
3x+1= A (x² + 3) + (B x +C)(x-2)
(0xx² + 3x + 1 = (A + B) x² + (2B + C) x + (A3-2C)
45-B
1-4 -4 +B
Find Constants A, B, and C.
+
(1)
let x=0 1 = A (3) + (C) 2 => 1 = 3A + 2C
Let x=27=
A (7) + (2B+C)(0)
4 = 1 (1 ² + 3) + (B(1)-1)(1-2)
4= 4 + B-2B-1 +2
=> B = 1
1 = 3 + 20 => 2 ² 2 2 = 7 -1 = (
= 7
=> 7 = A(7) = 7| A = 1
q
Transcribed Image Text:#2 Form of partial fractions. 3x +1 A xong cong C Let x-1 Bx +C (x-2)(x2+3) X-2 x² +3 3x+1= A (x² + 3) + (B x +C)(x-2) (0xx² + 3x + 1 = (A + B) x² + (2B + C) x + (A3-2C) 45-B 1-4 -4 +B Find Constants A, B, and C. + (1) let x=0 1 = A (3) + (C) 2 => 1 = 3A + 2C Let x=27= A (7) + (2B+C)(0) 4 = 1 (1 ² + 3) + (B(1)-1)(1-2) 4= 4 + B-2B-1 +2 => B = 1 1 = 3 + 20 => 2 ² 2 2 = 7 -1 = ( = 7 => 7 = A(7) = 7| A = 1 q
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