1. Factorize : x^3 + x^2_17x + 15
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(X+5),(X+1) and (x-3)
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Answer:
3+x2−17x+15
x=−5
⇒(−5)3+(−5)2−17(−5)+15=0
∴(x+5) is a factor
∴(x2−4x+3)(x+5)
=(x2−3x−x+3)(x+5)
=(x(x−3)+1(x−3))(x+5)
=(x+5)(x+1)(x−3)
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