Arectangle has sides measuring (4x - 5) units and (3x + 10) units.

part a: what is the expression that represents the area of the rectangle? show your work to receive full credit.

part b: what are the degree and classification (monomial? ? binomial? ? of the expression obtained in part a?

answer:

the area of the rectangle can be obtained by multiplying its sides

a_rect   = ((4x - 5)*(3x + 10))

a_rect   = [(4x - 5)*(3x) + (4x - 5)*(10)]

a_rect   = [12x^2 -15x + (40x - 50)]

a_rect   = [12x^2 + 25x - 50]

part a.

a_rect   = 12x^2 + 25x - 50

part b.

this expression corresponds to a second degree trinomial

answer:

a)  

b) degree 2. trinomial

step-by-step explanation:

a) the area of a rectangle can be calculated with:

where the lenght is l and the width is w.

then, you know that the area of this rectangle can be found with:

apply distributive property and add the like terms:

b) the highest exponent of this polyonimal is 2, then its degrree is 2.

a polynomial that has one term is called monomial.

a polynomial that has two terms is called binomial.

a polynomial that has three term is called trinomial.

since this polynomial has three terms, it is a trinomial.

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