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Chapter 7: Q. 113 (page 833)

In the following exercise, factor each expression

u2-12u+36

Short Answer

Expert verified

The factorization of the expressionu2-12u+36is(u-6)2

Step by step solution

01

Step 1. Given information

Given expression isu2-12u+36

02

Step 2. Find the last terms of the binomials.

The factors of the expression:

Factors of 36Sum of factors
-2, -18-2 + (-18) = -20
-4, -9-4 + (-9) = -13
-12, -3-12 + (-3) = -15
-6, -6-6 + (-6) = -12
03

Step 3. Factorization

Use -6and -6as the last terms of the binomial.

role="math" localid="1649221037735" u2-12u+36=(u-6)(u-6)

04

Step 4. Check

(u-6)(u-6)=u2-6u-6u+36=u2-12u+36

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Most popular questions from this chapter

Solve: (3m−2)(2m+1)=0.

Watermelon drop A springtime tradition at the University of California San Diego is the Watermelon Drop, where a watermelon is dropped from the seventh story of Urey Hall.

(a) The binomial -16t2+80 gives the height of the watermelon t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the watermelon is thrown down with initial velocity 8 feet per second, its height after t seconds is given by the trinomial-16t2-8t+80.Completely factor this trinomial.

Solve:4p+34p-3=0.

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

Factor:30y-60
See all solutions

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