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Chapter 7: Q 272 (page 868)

In the following exercises, factor.

48q3-24q2+3q

Short Answer

Expert verified

The factorization of the expression is3q(4q-1)2

Step by step solution

01

Step 1. Given information

Given expression is48q3-24q2+3q

02

Step 2. Find the Greatest Common Factor. 

The G.C.F is 3q

3q(16q2-8q+1)

03

Step 3. Write it as a square and check the middle term is it 2ab?

a2=(4q)2b2=122ab=2脳4q脳1=8q

Yes, the middle term is equal to2ab

04

Step 4. Write the square of the binomial.

3q(4q)2-2脳4q脳1+(1)2=3q(4q-1)2

05

Step 5. Check

3q(4q-1)2=3q(4q)2-2脳4q脳1+(1)2=3q(16q2-8q+1)=48q3-24q2+3q

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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.

Factor by grouping

x2y鈭�xy2+2x鈭�2y

Solve:

w(2w+3)=0

Factor Sums and Differences of Cubes

In the following exercises, factor.

b3-216

In the following exercises, factor completely.

5n3+320
See all solutions

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