On dividing a cubic polynomial p(x) by a linear polynomial g(x), Riya gets a quotient q(x) and remainder 5. Given that p(x) = g(x) x q(x) + 5, what must be the degree of q(x)?

Question

Accepted Answer

2. deg p = 3, deg g = 1. deg q = deg p - deg g = 3 - 1 = 2. The remainder 5 is a constant, consistent with deg r < 1.

On dividing a cubic polynomial $p (x)$ by a linear polynomial $g (x)$ , Riya gets a quotient $q (x)$ and remainder 5.
Given that $p (x) = g (x) x q (x) + 5$ , what must be the degree of $q (x)$ ?

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More Class 10 Division Algorithm practice

On dividing a cubic polynomial p(x) by a linear polynomial g(x), Riya gets a quotient q(x) and remainder 5.Given that p(x)=g(x)xq(x)+5, what must be the degree of q(x)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Division Algorithm practice

On dividing a cubic polynomial $p (x)$ by a linear polynomial $g (x)$ , Riya gets a quotient $q (x)$ and remainder 5.
Given that $p (x) = g (x) x q (x) + 5$ , what must be the degree of $q (x)$ ?