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Finding the Zeros and Specific Heights for
To analyze the height of an object thrown upward, modeled by the polynomial function , we can find its zeros, the time it reaches a specific height, and its height at a specific time. First, to find the zeros which indicate when the object hits the ground, set . Factoring the equation gives , which factors further to . This yields and . Discarding the negative time, the object hits the ground at 4 seconds. Second, to find when the object is at a specific height of 128 feet, set . Subtracting 128 from both sides gives . Factoring gives , yielding and . The object is at 128 feet at 0 and 2 seconds. Third, to find the height at a specific time, such as second, substitute 1 into the function. The result is . The object is at 144 feet after 1 second, which is its highest point.
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Ch.6 Factoring - Intermediate Algebra @ OpenStax
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Finding the Zeros and Specific Heights for
Finding the Zeros and Specific Heights for
Finding the Zeros and Specific Heights for
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Learn After
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