SOLUTION: Find the quotient and remainder when p(x) is divided by q(x), where p(x) = x^2 + 2 and q(x) = x^4 + 11x^2 - 7x + 10.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the quotient and remainder when p(x) is divided by q(x), where p(x) = x^2 + 2 and q(x) = x^4 + 11x^2 - 7x + 10.      Log On


   

Question 1209673: Find the quotient and remainder when p(x) is divided by q(x), where p(x) = x^2 + 2 and q(x) = x^4 + 11x^2 - 7x + 10.
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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In this problem, the dividend p(x)  (the polynomial in the numerator)  has the degree of 2,

while the divisor q(x)  (the polynomial in the denominator)  has the degree of 4.


In such cases, when the polynomial-dividend has degree lower than the polynomial-divisor,

the quotient is always 0 and the remainder is the polynomial-dividend itself.


So, in this problem, the quotient is 0 (zero) and the remainder is the polynomial p(x).    ANSWER

Solved.