Question

find remainder when the polynomial (p^2-p-29) is divided by (p-6).​

Answer 1

Step-by-step explanation:

$\: p + 5\ \\ p - 6 \sqrt{p {}^{2} } - p - 29 \\ - p {}^{2} + 6p \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5p - \: 29 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:5p + 30 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: remainder = 1$

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Answer 2

Answer:

The remainder of given polynomial is 1.

Step-by-step explanation:

As per the data given in the question we have to calculate the remainder of given polynomial.

As per the question it is given that the polynomial (p^2-p-29) is divided by (p-6).​

Here dividend is (p^2-p-29) and divisor is (p-6)

Dividend - Dividend is the number that is to be divided by the divisor. Divisor - The number by which the dividend is to be divided is called the divisor.

Quotient - The resultant of the division is called the quotient.

Remainder - The number that is left after division is called the remainder.

when we divided this polynomial then quotient will be p+5 with remainder 5p-29. Then subtract the polynomial we get 5p-29

Again divisor divided with 5p-29 then remainder will be 1.

Hence, the remainder of given polynomial is 1.

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