The given polynomial function is P(x) = -2x^2 + 2x + 4.
To determine the number and type of solutions for this polynomial function, we can analyze the discriminant of the quadratic equation using the formula:
Discriminant = b^2 - 4ac
Where a = -2, b = 2, and c = 4.
Plugging these values into the formula, we get:
Discriminant = (2)^2 - 4(-2)(4)
Discriminant = 4 + 32
Discriminant = 36
Since the discriminant is positive (36 > 0), the quadratic equation has two distinct real solutions.
Therefore, the polynomial function P(x) = -2x^2 + 2x + 4 has two real roots.
Determine the number and type of solutions for the following polynomial function. Make sure to include an explanation in your work to justify how you determined your answer.
P (2) = - 2x1 + 2x2 + 4
1 answer