Question

Select the correct answer from each drop-down menu.

Answer 1

q(x)= 2x+5

r(x)= 6

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 !