Question

9.) express the area of this triangle as a polynomial. (Remember A=1/2B H

Answer 1

base is the long bottom part
hiehg is the vertical bit


remember:

`(x^m)(x^n)=x^(m+n)`
add exponnets when multiplying by similar base
and
(ab)(cd)=(a)(b)(c)(d)=(ac)(bd), associative


given
base=4ab²c⁷
height=3a²b⁵

A=(1/2)(4a¹b²c⁷)(3a²b⁵)
A=(2)(a¹)(b²)(c⁷)(3)(a²)(b⁵)
A=(2)(3)(a¹)(a²)(b²)(b⁵)(c⁷)
A=(6)(a³)(b⁷)(c⁷)
A=6a³b⁷c⁷

Answer 2

Plug in the values for b =
`4ab^2c^7` and h =
`3a^2b^5`

A =
`(1)/(2) (4ab^2c^7)(3a^2b^5)`
Simplify....
A =
`6a^3b^7c^7`