Answer:
4x² + 2x + 6 = 0
Step-by-step explanation:
The polynomial which has highest degree 2 is known as quadratic polynomial. It is of the form:
ax² + bx + c = 0
where, a ≠ 0 and a, b & c are any constant.
We have given three points (-1, 8), (0, 6), and (2, 26)
Putting these value of (x, y) in quadratic equation one by one.
We get, three equations:
8 = a - b + c
6 = c
26 = 4a + 2b + c
Solving these equations, We get,
a = 4, b = 2 and c = 6
Now putting these values of a, b, and c in standard quadratic equation.
We get,
4x² + 2x + 6 = 0
which is required equation.
