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Question

Explain the long devision method in detail .
The zero of polynomial also
Regards Tanishque Jadhav


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Solution

Long Division Method
1. draw line over pairs of digits from right to left.
2. find the greatest number whose square is less than or equal to the digits in the first group.
3. Take this number as the divisor and quotient of the first group and find the remainder.
4. Move the digits from the second group besides the remainder to get the new dividend.
5. double the first divisor and bring it down as the new divisor.
6. Complete the divisor and continue the division.
7. Repeat the process till the remainder becomes zero

The zero of polynomial

A zero or root of a polynomial function is a number that, when plugged in for the variable, makes the function equal to zero. To find all the zeros of a polynomial function and the possible rational roots of a polynomial equation, use the rational zero theorem. The theorem states that a polynomial with integer coefficients has possible rational zeros equal to the factors of the constant term p divided by the factors of the leading coefficient q: . Not every number in the list of resulting possible factors is a zero of the function, but every rational zero of the polynomial function will appear somewhere in this list. Once the possible zeros are found, use synthetic division to test those zeros.

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