Answer:
y=2x^2+16x+11
Explanation:
Standard form is y=ax^2+bx+c.
In order to write this polynomial in standard form, we need to simplify and then arrange the terms in decreasing order.
Rewrite (x+4)^2 as (x+4)(x+4) and then expand using FOIL.
y=2(x⋅x+x⋅4+4x+4⋅4)−21
Simplify.
y=2(x^2+8x+16)−21
Apply the distributive property and simplify.
y=2x^2+2(8x)+2⋅16−21
y=2x^2+16x+32−21
y=2x^2+16x+11
Therefore,
y=2x^2+16x+11