Question

If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.

Answer 1

SOLUTION :  

Let f(x) = Dividend ,  g(x) = Divisor  

g(x) = quadratic polynomial

Given :  

g(x) = ax² + bx + c

Degree of f(x) = 4

Degree of g(x) = 2

Degree of quotient q(x) = (4 - 2) = 2  

The degree of Remainder r(x) is of degree 1 or less than 1  

Hence, The degree of remainder r(x) is equal to 1 or less than 1 .

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Answer 2

THE REMINDER WILL BE LESS THAN EQUAL TO ONE

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