Respuesta :
Answer:
The remainder is 5.
Step-by-step explanation:
The Remainder Theorem states that f(a) is the remainder when the polynomial is divided by (x - a).
The function f(x) ( x^2 + 5x - 1) is divided by x - 1:
So here the remainder is f(1) = 1^2 + 5*1 - 1
= 5.
The remainder of the given polynomial [tex]x^{2} +5x-1[/tex] divide by [tex](x-1)[/tex] using remainder theorem is equal to [tex]5[/tex].
What is remainder theorem?
" Remainder theorem is defined as the polynomial [tex]f(x)[/tex] is divided by [tex](x-a)[/tex] then remainder is given by [tex]f(a)[/tex]."
According to the question,
Given polynomial,
[tex]f(x)=x^{2} +5x-1[/tex]
Divisor : [tex](x-1)[/tex]
Calculate remainder using remainder theorem we get,
[tex]f(1) = 1^{2} +5(1) -1[/tex]
[tex]= 1+5-1\\\\=5[/tex]
Hence, the remainder of the given polynomial [tex]x^{2} +5x-1[/tex] divide by [tex](x-1)[/tex] using remainder theorem is equal to [tex]5[/tex].
Learn more about remainder theorem here
brainly.com/question/13264870
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