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Chapter 7: Q. 413 (page 899)

Factor Perfect Square Trinomials In the following exercises, factor.

40x2+360x+810

Short Answer

Expert verified

On factorization we get10(2x+9)2

Step by step solution

01

Step 1. Given information

An expression is given as40x2+360x+810

02

Step 2. Factorization

Use the square property (a+b)2=a2+b2+2ab

First convert the expression into the standard form,

40x2+360x+810=10(4x2+36x+81)=10((2x)2+2脳9脳2+(9)2) =10(2x+9)2

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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.

In the following exercises, factor completely.

15pq鈭�15p+12q鈭�12

In the following exercises, factor completely.

m4-81

Solve:123b=-6-60b2

Factor:-4b2+16b
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