Which expression is the factored form of −4.5n+3−4.5n+3 ?
−3(1.5n−1)−3(1.5n−1)
−1.5(−3n+2)−1.5(−3n+2)
−1.5(3n+2)−1.5(3n+2)
−3(1.5n+1)

−3(1.5n−1)−3(1.5n−1)

Step-by-step explanation:

To factor the expression −4.5n+3−4.5n+3, find the GCF between each term.  Using the GCF 3, divide each term by 3 and rewrite it as −3(1.5n−1)−3(1.5n−1).

The other options are not the factors because they give the wrong signs of at least one term in the expression.

−1.5(−3n+2)−1.5(−3n+2)  = 4.5n -3 + 4.5n - 3

−1.5(3n+2)−1.5(3n+2)  = -4.5n - 3 - 4.5n - 3

−3(1.5n+1) = -4.5n - 3

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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