Respuesta :
Answer:
Step-by-step explanation:
f(x) = x⁴ - 9x³ - 8x² - 9x - 2
f(-3) = (-3)⁴ -9*(-3)³ - 8*(-3)² - 9*(-3) - 2
= 81 - 9*(-27) - 8*9 + 27 -2
= 81 + 243 - 72 + 27 - 2
= 277
Answer:
[tex]F(-3)=142[/tex]
Substitute x=-3 into
[tex]F(x)=x\times4-9x\times3-8x\times2-9x-2[/tex]
Substitute
[tex]F(-3)=-3\times4-9\times(-3)\times3-8\times(-3)\times2-9\times(-3)-2[/tex]
Determine the sign
[tex]F\left(-3\right)=-3\times4+9\times3\times3+8\times3\times2+9\times3-2[/tex]
Calculate the product or quotient
[tex]F(-3)=-12+9\times3\times3+8\times3\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+27\times3+8\times3\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+8\times3\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+24\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+48+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+48+27-2[/tex]
Calculate the sum or difference
[tex]F(-3)=69+48+27-2[/tex]
[tex]F(-3)=117+27-2\\F(-3)=144-2\\F(-3)=142[/tex]
I hope this helps you
:)