Think of a whole number Subtract 2. Take the original number and add to find the product of the numbers. Subtract the square of the original number use polynomials to show how this number trick works

(x - 2)(x + 2) - x^2 ?=? -4

Let's simplify the left hand side.

(x - 2)(x + 2) - x^2

x^2 - 2x + 2x - 4 - x^2

(x^2 - x^2) + (-2x + 2x) + (-4)

0 + 0 + -4

-4

Step-by-step explanation:

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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