$\"\"$

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The height of the a rider after being dropped can be modeled by the equation is $\"\"$ , where t represents the time in seconds and h is height in feet.

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Find the GCF of each term.

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$\"\"$

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In above factorization forms of monomials, the common prime factors represented by the circle.

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The product of common prime factors of the monomial is called their greatest common factor(GCF).

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The GCF of $\"\"$ is $\"\"$ . $\"\"$

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Write each term as the product of the GCF and the remaining factors.Use the Distributive property to factor out the GCF.

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Rewrite each term using the GCF.

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$\"\"$

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Apply distributive property: $\"\"$ .

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$\"\"$ .

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The factor form of $\"\"$ . $\"\"$

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The rider initially dropped at $\"\"$ .

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The value of $\"\"$ is substitute in the equation, $\"\"$ .

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$\"\"$

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$\"\"$

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The value of $\"\"$ is substitute in the equation, $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ . $\"\"$

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(a)The factor form of expression of height is $\"\"$ ,

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(b)The rider initially dropped at $\"\"$ then height is $\"\"$ and

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(c)The rider be after 3 seconds of falling at height is $\"\"$ .