Question

please solve this pic...... with reasoning.

Answer 1

Answer. (1)

Let p(x) = 2a ( degree is 1) and g(x) = 2

Then after division,

q(x) = a ( degree is 1)

=> deg p(x) = deg q(x)

______________________________
Answer (2)

Let p(x) = 3 and g(x) = 2

Both are constant polynomial

Then after division,

r(x) = 1 ( degree is 0)

q(x) = 1 ( degree is 0)

=> deg r(x) = deg q(x)

_____________________________
Answer (3)

The answer of (2) also satisfies the third.

Answer 2

Answer. (1)

Let p(x) = 2a ( degree is 1) and g(x) = 2

Then after division,

q(x) = a ( degree is 1)

=> deg p(x) = deg q(x)

______________________________

Answer (2)

Let p(x) = 3 and g(x) = 2

Both are constant polynomial

Then after division,

r(x) = 1 ( degree is 0)

q(x) = 1 ( degree is 0)

=> deg r(x) = deg q(x)

_____________________________

Answer (3)

The answer of (2) also satisfies the third.

hope it helped ❤️