Question

What polynomial has a graph that passes through the given points?

Answer 1

Let's prove with x=1. The value of y is the sum of coefficients, and it would be 5

Option A. x=1, y=1+4+2-2→y=5  Ok
Option B. x=1, y=-1+4+2-2→y=3  No
Option C. x=1→y=1+4+2-2→y=5 Ok
Option D. x=1→y=1-4-2-2→y=-7  No

Then we have to options A or C

Let´s prove another point, for example (-1,-1), when x=-1, y=-1
Option A. x=-1→y=(-1)^4+4(-1)^3+2(-1)^2-2(-1)
y=1+4(-1)+2(1)+2=1-4+2+2→y=1 No

Option C. x=-1→y=(-1)^3+4(-1)^2+2(-1)-2
y=-1+4(1)-2-2=-1+4-2-2→y=-1 Ok

Answer: Option C. y=x^3+4x^2+2x-2  

Answer 2

Answer is defiantly c