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  • 25-03-2019
  • Mathematics
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Which type of function is the result of multiplying a quadratic function and a linear function?

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Аноним Аноним
  • 25-03-2019

Answer:

A cubic function

Step-by-step explanation:

When you multiply powers of a same base, the exponents sum. So, if we multiply a function like [tex]ax^2+bx+c[/tex] with a function like [tex]dx+e[/tex] we get

[tex](ax^2+bx+c)(dx+e) = adx^3+bdx^2+cdx+aex^2+bex+ce = adx^3+(bd+ae)x^2+(cd+be)x+ce[/tex]

which is a cubic function, because it is written in the form

[tex]\alpha x^3+\beta x^3 + \gamma x + \delta[/tex]

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