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Give one zero of the polynomial function. Find the other zeros.

a) Factor the polynomial to find the zero.
b) Use synthetic division to find the zero.
c) Apply the quadratic formula to find the zero.
d) Graph the function to locate the zero.

User HarryQ
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1 Answer

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Final answer:

The quadratic formula can be used to find the zeros of the quadratic equations t² + 10t - 2000 = 0 and x² + 0.0211x - 0.0211 = 0 after rearranging them into standard form.

Step-by-step explanation:

To solve the quadratic equation t² + 10t - 2000 = 0 using the quadratic formula, we rearrange the equation to make sure it is in the standard form of ax² + bx + c = 0. The quadratic formula is given by x = (-b ± √(b² - 4ac)) / (2a). Applying the formula, the zeros of the polynomial can be found, which are the values of 't' that satisfy the equation.

Similarly, for the equation x² + 0.0211x - 0.0211 = 0, substitute the coefficients into the quadratic formula to solve for 'x'. The given equation is a quadratic equation in the form ax² + bx + c = 0. We will use the quadratic formula to find the zeros of the equation.

User Micah Armantrout
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