Look at the problem and work shown. in which line was an error made and what should have been done differently? seven less than 5 times a number is 62. what is the number? 7 โ 5n = 62 (line 1) 7 โ 7 โ 5n = 62 โ 7 (line 2) โ5n = 55 (line 3) โ5n รท 5 = 55 รท 5 (line 4) n = โ11 (line 5)
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 ยฑ1 because these values will make the denominator zero. so the domain of the function cannot include ยฑ1.
you 're wlecome! : )
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