Final answer:
To express (x+11)⁰ as a trinomial in standard form, you expand the binomial using the formula a² + 2ab + b² to get x² + 22x + 121.
Step-by-step explanation:
To express (x+11)⁰ as a trinomial in standard form, you need to expand the binomial. The general formula for squaring a binomial (a+b)⁰ is a² + 2ab + b²
Applying this to the given expression:
(x+11)⁰ = x² + 2(×11) + 11²
Let's perform the operations:
x² + 2(×11) = x² + 22x
And 11² is 11 × 11, which equals 121.
So, combining all parts, we have:
x² + 22x + 121
This is the expanded trinomial in standard form, which is ax² + bx + c.