48

 PAGE: 481 SET: Exercises PROBLEM: 48

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.

Find the GCF of each term.

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

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

The GCF of is .

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

Rewrite each term using the GCF.

Apply distributive property: .

.

The factor form of .

The rider initially dropped at .

The value of is substitute in the equation, .

The value of is substitute in the equation, .

.

(a)The factor form of expression of height is ,

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

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

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