Factor completely. $45 x ^ { 7 } - 7 x ^ { 9 } + 10 x ^ { 10 }$
A) $45 x ^ { 7 } - x ^ { 9 } ( 7 + 10 x )$
B) $x ^ { 7 } \left( 45 - 7 x ^ { 2 } \right) + 10 x ^ { 10 }$
C) $x \left( 45 - 7 x ^ { 8 } + 10 x ^ { 9 } \right)$
D) $x ^ { 7 } \left( 45 + 10 x ^ { 3 } \right) - 7 x ^ { 9 }$
E) $x ^ { 7 } \left( 45 - 7 x ^ { 2 } + 10 x ^ { 3 } \right)$

Question

Quizplus · Accepted Answer

In order to factor this expression, we first look for the greatest common factor. We can see that all three terms share a factor of $x^7$, so we factor it out: $$45x^7-7x^9+10x^{10}=x^7\left(45-7x^2+10x^3\right)$$ The resulting expression cannot be factored further, so we choose option E as the correct answer.

Factor Completely 45x7−7x9+10x1045 x ^ { 7 } - 7 x ^ { 9 } + 10 x ^ { 10 }45x7−7x9+10x10

Factor Completely $45 x ^ { 7 } - 7 x ^ { 9 } + 10 x ^ { 10 }$