Answer:
(-8m⁵ + 10m⁴ + 9m³- 16m² + 5m)
Step-by-step explanation:
Given polynomial is (-2m³ + 3m² - m)(4m² + m - 5).
To get the standard form of this polynomial we will simplify the given expression.
(-2m³ + 3m² - m)(4m² + m - 5)
= -2m³(4m² + m - 5) + 3m²(4m² + m - 5) - m(4m² + m - 5)
= -8m⁵- 2m⁴ + 10m³+ 12m⁴ + 3m³ - 15m² - 4m³ - m² + 5m
= -8m⁵ + 10m⁴ + 9m³- 16m² + 5m
Therefore, standard form of the given polynomial is (-8m⁵ + 10m⁴ + 9m³- 16m² + 5m)
