Algebra Examples

Factor 6x^2+5x-6
6x2+5x-6
Step 1
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is ac=6-6=-36 and whose sum is b=5.
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Step 1.1
Factor 5 out of 5x.
6x2+5(x)-6
Step 1.2
Rewrite 5 as -4 plus 9
6x2+(-4+9)x-6
Step 1.3
Apply the distributive property.
6x2-4x+9x-6
6x2-4x+9x-6
Step 2
Factor out the greatest common factor from each group.
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Step 2.1
Group the first two terms and the last two terms.
(6x2-4x)+9x-6
Step 2.2
Factor out the greatest common factor (GCF) from each group.
2x(3x-2)+3(3x-2)
2x(3x-2)+3(3x-2)
Step 3
Factor the polynomial by factoring out the greatest common factor, 3x-2.
(3x-2)(2x+3)
 [x2  12  π  xdx ]