因式分解:(1)3x^2+7x+2 (2)5x^2+13x-6=0 (3)6x^2+13x-15=0
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因式分解:(1)3x^2+7x+2 (2)5x^2+13x-6=0 (3)6x^2+13x-15=0
![因式分解:(1)3x^2+7x+2 (2)5x^2+13x-6=0 (3)6x^2+13x-15=0](/uploads/image/z/4061990-38-0.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%893x%5E2%2B7x%2B2+%282%295x%5E2%2B13x-6%3D0+%283%296x%5E2%2B13x-15%3D0)
(1)3x^2+7x+2
=3x^2+6x+x+2
=3x(x+2)+(x+2)
=(x+2)(3x+1)
(2)5x^2+13x-6=0
5x^2-2x+15x-6=0
x(5x-2)+3(5x-2)=0
(5x-2)(x+3)=0
x=2/5,x=-3
(3)6x^2+13x-15=0
6x^2+18x-5x-15=0
6x(x+3)-5(x+3)=0
(x+3)(6x-5)=0
x=-3,x=5/6
=3x^2+6x+x+2
=3x(x+2)+(x+2)
=(x+2)(3x+1)
(2)5x^2+13x-6=0
5x^2-2x+15x-6=0
x(5x-2)+3(5x-2)=0
(5x-2)(x+3)=0
x=2/5,x=-3
(3)6x^2+13x-15=0
6x^2+18x-5x-15=0
6x(x+3)-5(x+3)=0
(x+3)(6x-5)=0
x=-3,x=5/6
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