Answer:
Part A:
To find the area of a rectangle you want to take length times width
(2x+11)(6x+4) You want to solve by using the FOIL method
First, Outer, Inner, Last
First terms 2x*6x=12x^2, when you multiply numbers with exponents you want to add, which is how we got it to squared
Outer terms~ 2x*4=8x, we take out two outer terms and times them by each other
Inner terms~ 11*6x=66x, we take our inner two terms and times them to each other
Last terms~ 11*4=44, we take the last two terms times each other
That now leaves us with
12x^2+8x+66x+44 Now we want to combine like terms to get:
12x^2+74x+44
Part B:
The degree is your highest exponent which in our case is 2
You would classify by how many different numbers you have:
This would be a trinomial because you have three different numbers: (12x^2, 74x, and 44)
Highest degree= 2
Classification= Trinomial
Part C:
Part A demonstrates the closure property because it shows that the polynomials are closed under the operations of adding, subtraction, and multiplying
Hope this helps ;)
