Answer:
2x⁶ + 16x⁵ + 30x⁴
Step-by-step explanation:
area of rectangle with height 2x⁴ and width x²+8x+15
area = height x width
2x⁴( x²+8x+15)
2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)
2x⁴⁺² + 16x⁴⁺¹ + 30x⁴
2x⁶ + 16x⁵ + 30x⁴
the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴