Question

If P(x) and Q(x) are polynomials of degree 3 and 4
respectively, then which of the following cannot be
true?
(1) deg[Q(x)] - deg[P(x)] – 1 = 0
(2)deg[P(x)]/deg[Q(x)]=deg[Q(x)/P(x)]
(3) deg[P(x) - Q(x)] = deg [P(x) + Q(x)]
(4) deg[P(x). Q(x)] = 7​

Answer 1

Answer:

2

Step-by-step explanation:

If

$\frac{p(x)}{q(x)} = r(x)$

Then p(x) must be

$p(x) = (ax + b)q(x)$

So degree of this polynomial must be 1 . Since degree of polynomial can't be fraction .