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Chapter 7: Q 229. (page 867)

In the following exercises, factor.

10k2+80k+160

Short Answer

Expert verified

The factorization of 10k2+80k+160is,10[(k+4)(k+4).

Step by step solution

01

Step 1. Given information  

Given expression is10k2+80k+160.

02

Step 2. Is there a GCF? 

Yes, 10, so factor it out.

10[(k)2+8k+16]

03

Step 3. Is this a perfect square trinomial? 

Verify the pattern.

a2+2ab+b2=10[(5u)2+2(4)(k)+(4)2]

04

Step 4. Factor 

10[k+4]2=10[(k+4)(k+4)]

05

Step 5. Check 

10[(k+4)(k+4)]=10[k+4]2=10[(k)2+2(k)(4)+(4)2]=10[k2+8k+16]=10k2+80k+160

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Most popular questions from this chapter

In the following exercises, solve.

(5b+1)(6b+1)=0

In the following exercises, find the greatest common factor.

90,150,105

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.

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Solve:123b=-6-60b2
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