PLEASE HELP —>50 POINTS What are the linear factors of 2x^4 +13x^3+27x^2+13x-15 if the remainder upon division with x^2 +4x +5 is zero?

Step by step solution :

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Equation at the end of step 1

 2•(x4))-(13•(x3)))+33x2)-13x)-15  = 0  

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Equation at the end of step

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 2•(x4))-13x3)+33x2)-13x)-15  = 0  

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Equation at the end of step

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 (((2x4 -  13x3) +  33x2) -  13x) -  15  = 0  

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Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 2x4-13x3+27x2-13x-15

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

english, cause i can’t you

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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