Question

find the remainder if x⁴+x³+x²+x+1 is divided by (x+1)​

Answer 1

Answer:

remainder=1

Step-by-step explanation:

Answer 2

★ Correct Question

$\longrightarrow x^{4}+x^{3}+x^{2}+x+2$

Divided by (x+1) then find the remainder.

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★ Solution

$\longrightarrow x+1=0 \\ \longrightarrow x=-1$

$\longrightarrow x^{4}+x^{3}+x^{2}+x+1 \\ \longrightarrow (-1)^{4}+(-1)^3+(+1)^{2}+(-1)+1 \\ \longrightarrow 1-1+1-1+1 \\ \longrightarrow 3-2 \\ \longrightarrow = 1$

→ Remainder=1

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→Extra explanation.

• putting x+1=0, x= -1
• use remainder thereom.