If p(x) = x^4 − 5x + 6 and q(x) = 2 − x^2, then the degree of p(x) / q(x) is

Question

If \(p(x) = x^4 - 5x + 6\) and \(q(x) = 2 -x^2\), then the degree of \(\frac{p(x)}{q(x)}\) is

(A) 2

(B) 4

(C) 1

(D) 3

Answer 1

Correct option is (A) 2

\(p(x) = x^4 - 5x + 6\)

\(q(x) = 2 -x^2 = -x^2 + 2\)

\(\frac{p(x)}{q(x)} = (- x^2 - 2)\)

\(\therefore \) The degree of \(\frac{p(x)}{q(x)} \) is 2.

Answer 2

AnkushLather, hello 

x⁴/x² = x²

Therefore the degree of ^p(x)/_q(x) is: (A) 2