Question

F(x)=x3+8x2+5x−50 factored

Answer 1

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: $(a+b)^{2} =a^{2} +2ab+b^{2}$.

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