Factor f(x)=x4+x3-20x2. list the zeros in order from least to greatest. list any repeated zeros the number of times they are repeated.

Hello from MrBillDoesMath!

-5, 0 (multiplicity 2), +4

Discussion:

Let f(x) = x^4 + x ^3 - 20 x^2

Factor x^2 from each term:

f(x) = x^2 ( x^2 + x - 20) = x^2 ( x +5) (x-4)

f = 0 when x = 0 (multiplicity 2) and x = -5 or x = 4

Regards,  

MrB

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

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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