Ziyad’s family owns a rectangular piece of land. If the length of the land is represented by 2x - 6 and the width is represented by 3x - 5, what polynomial represents the total area of this piece of land?

Area of rectangular land = 6x² - 28x + 30

Step-by-step explanation:

Given:

Length of rectangular land = 2x - 6

Width of rectangular land = 3x - 5

Find:

Area of rectangular land

Computation:

Area of rectangle = Length × Width

Area of rectangular land = [Length of rectangular land][Width of rectangular land]

Area of rectangular land = [2x - 6][3x - 5]

Area of rectangular land = (2x)(3x) - (2x)(5) - (6)(3x) + (6)(5)

Area of rectangular land = 6x² - 10x - 18x + 30

Area of rectangular land = 6x² - 28x + 30

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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