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Chapter 7: Q. 398 (page 899)

Factor Trinomials Using the 鈥渁c鈥� Method.

In the following exercises, factor.

3y2+17y+10

Short Answer

Expert verified

3y2+17y+10=(3y+2)(y+5)

Step by step solution

01

Step 1. Given information

We have been given a trinomial 3y2+17y+10.

We have to factor it Using the 鈥渁c鈥� Method.

02

Step 2. Find the product ac 

3y2+17y+10a=3c=10ac=3(10)=30

03

Step 3. Find two numbers m and n that m⋅n=a⋅c  and  m+n=b

We have to find m and n such that:

m鈰�n=30andm+n=17

Therefore, we get:

m=15n=2

04

Step 4. Split the middle term using m and n and then factor by grouping. 

3y2+17y+10=3y2+15y+2y+10=3y(y+5)+2(y+5)=(3y+2)(y+5)

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Most popular questions from this chapter

Factor:2x3+12x2

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:18u-36

Factor Trinomials of the form x2+bx+c

k2鈭�16k+60

Solve:16y2=32y3+2y
See all solutions

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