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Chapter 7: Q 7.23. (page 816)

Factor:-16z-64.

Short Answer

Expert verified

The required factor is-16z+4.

Step by step solution

01

Step 1. Given information.

The given polynomial is:

-16z-64

02

Step 2. Find the GCF.

Find the GCF of 16zand64,

16z=2路2路2路2路z64=2路2路2路2路2路2

GCF=2路2路2路2=16

Since the leading coefficient is negative, the GCF is negative,-16.

03

Step 3. Find the factor.

Rewrite each term as a product using the GCF,

-16路z+-16路4

Factor the GCF,

-16z+4

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Most popular questions from this chapter

Pumpkin drop A fall tradition at the University of California San Diego is the Pumpkin Drop, where a pumpkin is dropped from the eleventh story of Tioga Hall.

(a) The binomial -16t2+128 gives the height of the pumpkin t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the pumpkin is thrown down with initial velocity 32 feet per second, its height after t seconds is given by the trinomial -16t2-32t+128.Completely factor this trinomial.

A boat鈥檚 sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13. Find the lengths of the two sides of the sail.

In the following exercises, factor completely.

4x2+40x+84

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 鈥榓c鈥� method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

In the following exercises, factors completely:

8m2+22m+5.
See all solutions

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