polynomial p(x)=x⁴-6x³-26x²+138x-35
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Answer:
x⁴-6x³-26x²+138x-35 = (x²-4x+1)(x+5)(x-7)
Step-by-step explanation:
- x⁴-6x³-26x²+138x-35 =
- (x⁴-7x³)+(x³-7x²)-(19x²-133x)+ (5x-35)=
- (x³+x²-19x+5)(x-7)=
- ((x³+5x²)-(4x²+20x)+(x+5))(x-7)=
- (x²-4x+1)(x+5)(x-7)
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