Factorise 2x³-x²-13x-6
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Given
---2x 3 − x 2 − 13x − 6 = x 2 − x − 6
2x + 1
----- 2x 3 − x 2 − 13x − 6 = (2x + 1)(x 2 − x − 6)
--------Use formula for factoring quadratic equation: ax2 + bx + c = a(x − x1)(x − x2) Where x1 and x2 are solutions of quadratic equation.In our case we have: x 2 − x − 6 = 1 (x − (−2)) (x − 3) that is
x 2 − x − 6 = (x + 2) (x − 3)
---2x 3 − x 2 − 13x − 6 = x 2 − x − 6
2x + 1
----- 2x 3 − x 2 − 13x − 6 = (2x + 1)(x 2 − x − 6)
--------Use formula for factoring quadratic equation: ax2 + bx + c = a(x − x1)(x − x2) Where x1 and x2 are solutions of quadratic equation.In our case we have: x 2 − x − 6 = 1 (x − (−2)) (x − 3) that is
x 2 − x − 6 = (x + 2) (x − 3)
rayala:
very good keep it on very good answer
very well done
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