Factor completely. $$8 x ^ { 2 } - 13 x ^ { 4 } + 12 x ^ { 5 }$$
A) $8 x ^ { 2 } - x ^ { 4 } ( 13 + 12 x )$
B) $x ^ { 2 } \left( 8 - 13 x ^ { 2 } \right) + 12 x ^ { 5 }$
C) $x \left( 8 - 13 x ^ { 3 } + 12 x ^ { 4 } \right)$
D) $x ^ { 2 } \left( 8 + 12 x ^ { 3 } \right) - 13 x ^ { 4 }$
E) $x ^ { 2 } \left( 8 - 13 x ^ { 2 } + 12 x ^ { 3 } \right)$

Question

Quizplus · Accepted Answer

We can first factor out $x^2$ from each term: $$8x^2-13x^4+12x^5=x^2(8-13x^2+12x^3)$$ Since we cannot factor this any further, our answer is (E).

Factor Completely 8x2−13x4+12x58 x ^ { 2 } - 13 x ^ { 4 } + 12 x ^ { 5 }8x2−13x4+12x5

Factor Completely $8 x ^ { 2 } - 13 x ^ { 4 } + 12 x ^ { 5 }$