Answer:
A: 10x^2 +53x +63 B: degree 2; quadratic trinomial C: the result of the multiplication of polynomials is a polynomial
Step-by-step explanation:
Part A:
The area is the product of length and width. The distributive property is useful for simplifying the expression.
A = LW
A = (2x +7)(5x +9) = 2x(5x +9) +7(5x +9)
A = (10x^2 +18x) +(35x +63)
A = 10x^2 +53x +63 . . . . area expression
Part B:
The highest power of x is 2. There are 3 terms. A degree-2 polynomial is called a "quadratic." A 3-term polynomial is called a "trinomial."
degree 2
quadratic trinomial
Part C:
In part A we multiplied two polynomials and came up with a result that is a polynomial. This suggests polynomials are closed with respect to multiplication.
I hope this helps!!
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