Answer:
x is the width of the sports banner; x², the second degree term, is the area of the culture banner; 12x, the first degree term, is the increase in area of the culture banner to make the sports banner; and the binomial x+12 is the length of the sports banner.
Step-by-step explanation:
The culture banner is a square. Its unknown side would be x; this would be both the length and the width.
The sports banner is 12 inches longer than the length of the culture banner. This means the length of the sports banner will be x+12.
The area is found by multiplying the length and the width. This gives us x(x+12) = x²+12x. The second degree term is x²; this is the same as the area of the culture banner, x(x).
The first degree term is 12x. This is the amount that the area is increased to make the new banner.
