Given:
Big Rectangle: Length = 15m ; Width = 12m
Small Rectangle : Length = 8m ; Width = 2m (12m-5m-5m)
Area of Big Rectangle = 15m * 12m
A = 180m²
Area of Small Rectangle = 8m * 2m
A = 16m²
Area of the colored shaped:
A = 180m² - 16m²
A = 164m²
We know that
the euclid's division A/B implies A= BQ + R
wher Q = the quotient, and R is the remainder
<span>after doing euclid's division, (3x^3+15x^2+17x+3)/x+5 = 3x²+17and R= - 82
so </span>(3x^3+15x^2+17x+3= (3x²+17) (x+5) -82
the answer is x^3+15x^2+17x+3= (3x²+17) (x+5) - 82