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OverLord2011 [107]
3 years ago
13

F(x)=x3+8x2+5x−50 factored

Mathematics
1 answer:
Luda [366]3 years ago
4 0

Answer:

(x+5)^{2} (x-2)

Step-by-step explanation:

1) Factor x^3} +8x^{2} +5x-50 using polynomial division.

(x^{2} +10x+25)(x-2)

2) Rewrite x^{2} +10x+25 in the form a^{2} +2ab+b^{2}, where a = x and b = 5.

(x^{2} +2(x)(5)+5^{2} )(x-2)

3) Use Square of Sum: (a+b)^{2} =a^{2} +2ab+b^{2}.

(x+5)^{2} (x-2)

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