How do I find the area of the shaded region?

the area is 17 square units

Step-by-step explanation:

separate the figure into three shapes, as shown in the picture attached.

now you have a figure with the side lengths 2 by 3, and an area of 6

a figure with the side lengths 5 by 2, and an area of 10

and a figure with the side lengths 1 by 1, and an area of 1

add the three areas (6 + 10 + 1) and you'll get your total area, 17

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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