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

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

The remainder will be -10.

When x 13 + 1 is divided by x 1 What is the remainder?

2
∴ When x13 + 1 is divided by x – 1, the remainder is 2.

What is the remainder of divided by 11?

so its remainder when divided by 11 is just 2(-1) + 7(1) + 2(-1) + 8(1), the alternating sum of the digits. (It’s sum is the negative of what we found above because the alternation here begins with a -1.) But either way, if this alternating sum is divisible by 11, then so is the original number.

Which of the following is not the zero of x³ 6x² 11 x 6?

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6 is your answer.

What is the remainder when x51 51 is divided by x 1?

Hence, the remainder is 50.

How do you use Remainder Theorem?

The remainder theorem formula is used to find the remainder when a polynomial p(x) is divided by (ax + b). Using the remainder theorem we can determine whether (ax + b) is a factor of p(x) or not. If the remainder is 0, then (ax + b) is a factor of a polynomial p(x), otherwise, it is not.

How do you find the remainder of a polynomial?

Find remainder, if f (x) = x 2−5x+6 is divided by x−5. Find the remainder when x 3−ax 2+6x−a is divided by x−a. f ( x) = 9 x 3 − 3 x 2 + x − 5, g ( x) = x − 3 2 ​. The polynomial p ( x) = x 4 − 2 x 3 + 3 x 2 − a x + 3 a − 7 when divided by x + 1 leaves the remainder 1 9. Find the value of a.

Is x11 + 1 divisible by x + 1?

Since -1 is a root of x 11 + 1, x 11 + 1 is divisible by x + 1. To expand a little the answer, and give it a bit more meat, the division of polynomials is pretty similar to the division of integers, and we can use basically the same algorithm.

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What is the divisor for dividend p(x)?

Here, the divisor is x+1 for dividend p (x), we need to equate it to 0 and put that value of x in p (x). Was this answer helpful? Find remainder, if f (x) = x 2−5x+6 is divided by x−5.

How do you find the highest order term in a dividend?

Divide the highest order term in the dividend x x by the highest order term in divisor x x. Multiply the new quotient term by the divisor. The expression needs to be subtracted from the dividend, so change all the signs in x+ 1 x + 1