Use the remainder theorem to find P(-1) for P(x) = -x³-3x² - 4x +3. Specifically, give the quotient and the remainder for the associated division and the value of P(-1). Quotient = Remainder= p(-1)=

Respuesta :

Solution:

Given the polynomial;

[tex]P(x)=-x^3-3x^2-4x+3[/tex]

Using synthetic division;

Thus, the quotient is;

[tex]quotient=-x^2-2x-2[/tex]

The remainder is;

[tex]Remainder=5[/tex]

Also;

[tex]\begin{gathered} P(-1)=-(-1)^3-3(-1)^2-4(-1)+3 \\ \\ P(-1)=5 \end{gathered}[/tex]

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