Math help needed ASAP!

Question

Where (x + d)2 = ax2 + bx + c, describe the relationship between d and b and d and c?

d and b:

d and c:

Answer 1

This kind of relationship is called an identity, i.e. it has to be true for all values of x.

This means that the coefficients of each power of x must match exactly.

(x+d)² = x² + 2dx + d² = ax² + bx =c identically means

a=1, b=2d and c=d²