Question

Q5. If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be
A Zero of p(x)
B. Value of p(x)
C. Constant of p(x)
D. None of the above.​

Answer 1

Answer:

Let p(x) and g(x) be two polynomials

If g(x) is any polynomial then it can divide p(x) by q(x) where 0<q(x) and may get a remainder say r(x).

If g(x) perfectly divides p(x) by q(x), then r(x)=0.

It is obvious that deg r(x)<deg g(x).

∴ we can find polynomial q(x) and r(x) such that

p(x)=q(x)q(x)+r(x), where r(x)=0 or deg r(x)<deg g(x)