Factorize using factor theorem f(x) =x³+13x²+32x+20.
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Solution :-
⟹ x³ + x² + 12x² + 12x + 20x + 20
⟹ x²(x + 1) + 12x (x + 1) + 20 (x + 1)
⟹ (x − 1) (x² + 12x + 20)
⟹ (x − 1) (x² + 10x + 2x + 20)
⟹ (x + 1) [x (x + 10) + 2(x + 10)]
⟹ (x + 1) (x + 2) (x + 10)
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