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Remainder Theorem Calculator
Apply the remainder theorem step by step
The calculator will calculate $$$f(a)$$$ using the remainder (little Bézout's) theorem, with steps shown.
Solution
Your input: find $$$f\left(1\right)$$$ for $$$f\left(x\right)=x^{2} + 2 x + 5$$$.
According to the remainder theorem, $$$f(a)$$$ is the remainder from dividing $$$f(x)$$$ by $$$x-a$$$.
Thus, to find $$$f\left(1\right)$$$, find the remainder from dividing $$$x^{2} + 2 x + 5$$$ by $$$x - 1$$$.
For this, use the synthetic division calculator.
The remainder is $$$8$$$, therefore, $$$f\left(1\right)=8$$$.
Answer: $$$f\left(1\right)=8$$$.
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