Question

A rectangle has a height of 2x^4 and a width of x^2+8x+15. Express the area of the entire rectangle. Your answer should be a polynomial in standard form. Area =

Answer 1

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