Remainder Theorem (Level 1)
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Penalty: 1 off
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If $f(x)=3 x^{6}+x^{5}+4$, then what is the remainder when $f(x)$ is divided by $x+1$ ?
Answer Attempt 1 out of 2
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Final Answer: The remainder when $f(x)$ is divided by $x+1$ is $\boxed{6}$.

Steps

Step 1 ：The Remainder Theorem states that the remainder of a polynomial f(x) divided by a linear divisor x-a is equal to f(a). In this case, the divisor is x+1, so we can substitute -1 into the polynomial to find the remainder.

Step 2 ：remainder = 6

Step 3 ：Final Answer: The remainder when $f(x)$ is divided by $x+1$ is $\boxed{6}$.

Remainder Theorem (Level 1)Score: $3 / 5$Penalty: 1 offQuestionShow ExampleIf $f(x)=3 x^{6}+x^{5}+4$, then what is the remainder when $f(x)$ is divided by $x+1$ ?Answer Attempt 1 out of 2Submit Answer

Answer

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Remainder Theorem (Level 1)
Score: $3 / 5$
Penalty: 1 off
Question
Show Example
If $f(x)=3 x^{6}+x^{5}+4$, then what is the remainder when $f(x)$ is divided by $x+1$ ?
Answer Attempt 1 out of 2
Submit Answer