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.
-$$\left( 5 m ^ { 3 } z ^ { 4 } \right) \left( 4 m ^ { 2 } z ^ { 2 } \right)$$
A) $20 m z ^ { 5 }$
B) $20 m ^ { 5 } \mathrm { z }$
C) $20 m ^ { 5 } z ^ { 6 }$
D) $20 m z ^ { 6 }$

Question

Quizplus · Accepted Answer

The given expression is a multiplication of two terms, not a quadratic equation, so the concept of a discriminant and predicting the number of solutions does not apply. The correct answer is found by multiplying the coefficients and adding the exponents of like bases: $5 \times 4 = 20$, $m^3 \times m^2 = m^{3+2} = m^5$, and $z^4 \times z^2 = z^{4+2} = z^6$, resulting in $20 m^5 z^6$.

Evaluate the Discriminant for the Equation (5m3z4)(4m2z2)\left( 5 m ^ { 3 } z ^ { 4 } \right) \left( 4 m ^ { 2 } z ^ { 2 } \right)(5m3z4)(4m2z2)

Evaluate the Discriminant for the Equation $\left( 5 m ^ { 3 } z ^ { 4 } \right) \left( 4 m ^ { 2 } z ^ { 2 } \right)$