Answer:
q(x)= 2x+5
r(x)= 6
Step-by-step explanation:
Given:
2x^2+13x+26 /x+4
Re-writing in the form of q(x) + r(x)/d(x)
Let
Polynomial P(x)= 2x^2+13x+26
Polynomial d(x)= x+4
Using remainder theorem, putting -4 in P(x) to find r(x)
P(-4)= 2(-4)^2+13(-4)+26
=6
i.e r(x)= 6
Finding q(x) by long division
q(x)= 2x+5
Hence given expression in the form q(x) + r(x)/d(x)
= (2x+5) + 6/x+4 !
