JuanpabloY382432 JuanpabloY382432
  • 26-10-2022
  • Mathematics
contestada

Find f(-6) by using the Remainder Theorem. Show all work and then post it in the next problem.

Find f6 by using the Remainder Theorem Show all work and then post it in the next problem class=

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KeatsI416242 KeatsI416242
  • 26-10-2022

ANSWER:

f(-6) = 11

STEP-BY-STEP EXPLANATION:

We have the following polynomial:

[tex]f\mleft(x\mright)=x^4+7x^3+8x^2+11x+5[/tex]

We calculate the value of f (-6), replacing the value of -6 in the polynomial and then we operate until we find the result:

[tex]\begin{gathered} f(-6)=(-6)^4+7(-6)^3+8(-6)^2+11(-6)+5 \\ f(-6)=1296+7\cdot(-216)^{}+8\cdot(36)+11\cdot(-6)+5 \\ f(-6)=1296-1512^{}+288-66+5 \\ f(-6)=11 \end{gathered}[/tex]

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