Answer:
Given the following information, the area of the triangle is x⁴+3x³+9x²+10x+12
Step-by-step explanation:
We must know the formula for finding the area of a triangle in order to begin.
Area = 1/2(b×h)
First we multiply the base and height together.
Base = x² + 2x + 4
Height = 2x² + 2x + 6
(x² + 2x + 4)(2x² + 2x + 6)
Use the foil method to solve this.
2x⁴ + 2x³ + 6x² + 4x³ + 4x² + 12x + 8x² + 8x + 24
Combine like terms.
2x⁴ + 6x³ + 18x² + 20x + 24
Now that we have our product, we have to divide this expression by 2 or 1/2.
(2x⁴ + 6x³ + 18x² + 20x + 24)/2
So, the area of the triangle is x⁴ + 3x³ + 9x² + 10x + 12
