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dem82 [27]
2 years ago
12

Find the factors of f(x) given that x = −3 is a zero.

Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0

x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)

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