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Chapter 7: Q. 379 (page 898)

Factor Trinomials of the form x2+bx+c

k2鈭�16k+60

Short Answer

Expert verified

Factor is:k2鈭�16k+60=(k-10)(k-6)

Step by step solution

01

Step 1. Given information

given expressionk2鈭�16k+60

02

Step 2. Factor the expression by grouping.  

First, the expression needs to be rewritten as k2+ak+bk+60. To find aand b, set up a system to be solved.

a+b=-16ab=60

03

Step 3. Find a and b

by guessing all such integer pairs that give the product 60

we find

a=-10,b=-6

Rewrite the expressionk2鈭�16k+60 ask2鈭�10k-6k+60

04

Step 4. Now factor by grouping

k2鈭�10k-6k+60=(k2鈭�10k)(-6k+60)=k(k-10)-6(k-10)=(k-10)(k-6)

Therefore, the factor of the given expression is(k-10)(k-6)

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Most popular questions from this chapter

Factor:24y3-12y2-20y

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: (3m鈭�2)(2m+1)=0.

Factor:3p3-6p2q+9pq3.

Factor:18u-36
See all solutions

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