sibandabengesai6 sibandabengesai6
  • 09-07-2022
  • Mathematics
contestada

1. What is the remainder when x³+4x2-2x+1 is divided by x+2 1. What is the remainder when x³ + 4x2-2x + 1 is divided by x + 2​

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genevabarosa
genevabarosa genevabarosa
  • 09-07-2022

Answer:

Remainder is 13

Step-by-step explanation:

You can apply the remainder theorem here. You just equate the divisor to 0, then substitute the x-value in the expression.

[tex]x^3 + 4x^2 - 2x + 1 \\[/tex]       then, [tex]x+2=0\\x=-2[/tex]

substitute:

[tex]-2^3 + 4(-2)^2-2(-2) + 1 =13[/tex]

Therefore, the remainder is 13

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