Factorisr 16x^2 - 2x - 3 by easy methods
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Factor 16x^2-2x-3
16x2−2x−316x2-2x-3
For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=16⋅−3=−48a⋅c=16⋅-3=-48 and whose sum is b=−2b=-2.
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Factor −2-2 out of −2x-2x.
16x2−2(x)−316x2-2(x)-3
Rewrite −2-2 as 66 plus −8-8
16x2+(6−8)x−316x2+(6-8)x-3
Apply the distributive property.
16x2+6x−8x−316x2+6x-8x-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(16x2+6x)−8x−3(16x2+6x)-8x-3
Factor out the greatest common factor (GCF) from each group.
2x(8x+3)−(8x+3)2x(8x+3)-(8x+3)
Factor the polynomial by factoring out the greatest common factor, 8x+38x+3.
(8x+3)(2x−1)(8x+3)(2x-1)
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