Exercise 34 Page 113

We want to factor out the coefficient of the variable term — 6. Let's rewrite each term as a product of 6 and some other factor. To do so, we need to think of a number that gives 34 when multiplied by 6. We can find it by dividing 6 by 34.

3/4÷ 6

DivFracD

a/c/b= a/b* c

3/4* 6

Multiply

Multiply

3/24

ReduceFrac

a/b=.a /3./.b /3.

1/8

The quotient equals 18, which means that 34 is 6 times 18. Now we can write each term as a product. 6s &= 6 * s [0.5em] 3/4 &= 6 * 1/8 Finally, we use the Distributive Property to factor the expression. Let's go!

6s - 3/4

SplitIntoFactors

Split into factors

6 * s - 3/4

Rewrite

Rewrite 3/4 as 6 * 1/8

6 * s - 6 * 1/8

FactorOut

Factor out 6

6(s-1/8)