Final answer:
To solve the quadratic equation x² +0.0211x -0.0211 = 0, we use the quadratic formula to find the roots, which represent the factors of the quadratic polynomial when expressed in its factored form.
Step-by-step explanation:
The student has asked to find the factors of a polynomial expression which appears to be incomplete. However, the equation provided, x² +0.0211x -0.0211 = 0, is a quadratic equation which can be solved using the quadratic formula. This formula is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients from the quadratic equation in the form ax² + bx + c = 0.
In this case, a = 1, b = 0.0211, and c = -0.0211. Plugging these into the quadratic formula, we solve for the two possible values of x. This process will give the roots of the equation, which are the factors of the quadratic polynomial if expressed as (x - root1)(x - root2).
Steps to Solve the Quadratic Equation:
Calculate the discriminant, D = b² - 4ac.
Find the two solutions for x, using x = (-b ± √D) / (2a).
Express the solutions in simplest form.
The standalone expressions provided in the question's context are irrelevant to solving this specific quadratic equation, and thus have not been used in the calculation.