tjb19861124
tjb19861124 tjb19861124
  • 25-09-2017
  • Mathematics
contestada

Factoring a quadratic with leading coefficient greater than 1


2y^2+17y-9

Respuesta :

wizard123
wizard123 wizard123
  • 25-09-2017
Multiply first and last coefficients:
2*(-9) = -18

Find 2 factors which multiply to -18 and add up to 17:
18 and -1

Rewrite quadratic with 17y split up as' 18y - y', Then factor by grouping:

[tex]2y^2 - y + 18y -9 \\ \\ y(2y-1) + 9(2y-1) \\ \\ (2y-1)(y+9)[/tex]
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