First, ask yourself: What is a polynomial? It's an algebraic expression in which all powers of x are zero or positive integers.
Eliminate E because -2 is not a positive integer exponent.
Accept D because all of the powers of x are positive integers: {3, 2, 1, 0}
Eliminate C because -3 is not a positive integer power
Eliminate A and B because of the fractional or negative exponents shown.
Only D is a polynomial.
B = 12 - a
Subtract a from both sides to isolate b, and you get the answer.
1. -7(6v+4)+3v(v+3)
-42v-28+3v ²+9v
-33v-28+3v ²
=3v ²-33v-28
2. -3k(2k-3)+7(k-7)
-6k ²+9k+7k-49
= -6k ²+16k-49
Answer: 
Step-by-step explanation:
The figure is formed by a square, a parallelogram and a rectangle.
Then, the area of the figure will be the sum of the area of the square, the area of the parallelogram and the area of the rectangle.
The area of the square is:
The area of the parallelogram is:
The area of the rectangle is:
Therefore, the area of the figure is:
