Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
-$$- 6 x ^ { 2 } \left( 10 x ^ { 6 } - 11 x ^ { 3 } \right)$$
A) $6 x ^ { 2 }$
B) $- 60 x ^ { 8 } + 66 x ^ { 5 }$
C) $6 x ^ { 8 } + 6 x ^ { 5 }$
D) $- 60 x ^ { 8 } - 11 x ^ { 3 }$

Question

Quizplus · Accepted Answer

The given equation is a product of two terms, $-6x^2$ and $10x^6 - 11x^3$. Multiplying these together, we get $-6x^2(10x^6 - 11x^3) = -60x^8 + 66x^5$, which matches option B.

Evaluate the Discriminant for the Equation −6x2(10x6−11x3)- 6 x ^ { 2 } \left( 10 x ^ { 6 } - 11 x ^ { 3 } \right)−6x2(10x6−11x3)

Evaluate the Discriminant for the Equation $- 6 x ^ { 2 } \left( 10 x ^ { 6 } - 11 x ^ { 3 } \right)$