jasminestewart1102 jasminestewart1102
  • 22-10-2019
  • Mathematics
contestada

Factor the following polynomial expressions into products of linear terms.a)x²+9b)x²+5

Respuesta :

juanvwa
juanvwa juanvwa
  • 23-10-2019

Answer:

a) [tex](x - 3 i) (x + 3 i)[/tex]

b) [tex](\sqrt(5) - i x) (\sqrt(5) + i x)[/tex]

Step-by-step explanation:

Those are quadratic equations with complex solutions, you have to use the quadratic equation to find the roots that fit in the linear terms.

[tex]\frac{-b+\sqrt{b^2 - 4ac}  }{2a}[/tex]

[tex]\frac{-b-\sqrt{b^2 - 4ac}  }{2a}[/tex]

each equation will give you one term, for the first equation a=1, b=0, c=5 ; for the second a=1, b=0, c=5. Replacing that in the equations will give you the roots and the answer.

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