22Factoring 2x²+7x−15
Solve by factoring.
The equation 2x²+7x−15=0 factors as (x+5)(2x−3)=0, giving x = −5 or x = 3/2. We split 7x into 10x−3x since 10×(−3)=−30 matches a·c and 10+(−3)=7, then grouped and pulled out the shared factor (x+5).
Solve by factoring.
The equation 2x²+7x−15=0 factors as (x+5)(2x−3)=0, giving x = −5 or x = 3/2. We split 7x into 10x−3x since 10×(−3)=−30 matches a·c and 10+(−3)=7, then grouped and pulled out the shared factor (x+5).