FAQ: What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

What is the remainder when x3 1 is divided by x 1?

So when x3 + 1 is divided by (x + 1 ) then the quotient be x 2− x + 1 and the remainder will be 0 [ Since x3 + 1 is perfectly divisible by (x + 1 )]..

What is the remainder when x4 x3 2×2 x 1 is divided by x 1?

Answer: Remainder will be 5. Step-by-step explanation: let x4 + x3 – 2×2 + x + 1 be p( x ).

When X 31 1 is divided by x 1 where is the remainder?

Let p( x ) = x31 + 31. Thus, the remainder when (x31 + 31 ) is divided by (x + 1 ) is 30.

What is the remainder when X 1999 is divided by x2 1?

since p( x ) is a polynomial of degree 1999 so it will leave a linear remainder in form of ax+b where a and b are constants. so when x ^ 1999 is divided by x ^2- 1 then it leaves remainder as x. option (3) is correct.

What is the remainder when P x is divided by x 1?

When a polynomial p ( x) is divided by x − 1, the remainder is 3.

What does the remainder theorem state?

The Remainder Theorem states that if a polynomial f(x) is divided by (x – k) then the remainder r = f(k).

What is the remainder when X 11 1 is divided by x 1?

Answer. The remainder will be -10.

What is the remainder when x 2 2x 2 x 1 is divided by x 1?

Hence, remainder =0.

When P x is divided by ax b then the remainder is?

(a x + b )=a( x −(−a b )), ∴ Remainder = p (a− b )

When x13 1 is divided by x 1the remainder is?

Remainder when x13 + 1 is divided by (x – 1 ) = 1 13 + 1 = 2.

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