Answer:
(d + 1) (2d + 9)
Explanation:
2d² + 11d + 9
First, we rewrite 11d as 2d + 9d, we have the equation:
2d² + 2d + 9d + 9
We group them, so the equation will be
(2d² + 2d) + (9d + 9)
Factor out the GCF of each group
2d (d + 1) + 9 (d + 1)
Factor the polynomial by factoring out the greatest common factor, d+1
(d + 1) (2d + 9)
So, the answer is (d + 1) (2d + 9)