x- a + + 5x² + 3x + 2 А B Example: С (x-1)(x+2) X-1 (x+2) (x+2)? Short cut Method to find A and C: A = 5+3+2 10 20 - 6+2 ;C= (1+2) 9 (-2-1) There is no shortcut method to find B. 16 3 Equating the coefficients of x2 on both sides of noin 5x2 + 3x + 2 = A(x + 2)2 + B(x - 1) (x + 2) + C(x - 1), we get 35 5 = A +B=B= 9 Type 3 Nonfactorisable (irreducible) quadratic factor (ay2 +
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x- a + + 5x² + 3x + 2 А B Example: С (x-1)(x+2) X-1 (x+2) (x+2)? Short cut Method to find A and C: A = 5+3+2 10 20 - 6+2 ;C= (1+2) 9 (-2-1) There is no shortcut method to find B. 16 3 Equating the coefficients of x2 on both sides of noin 5x2 + 3x + 2 = A(x + 2)2 + B(x - 1) (x + 2) + C(x - 1), we get 35 5 = A +B=B= 9 Type 3 Nonfactorisable (irreducible) quadratic factor (ay2 +
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