Question

Polynomial Inequalities:

10) 6 + 5x - 6x^ 2 > 0

show number line and answer in interval notation

Answer 1

$6x^2-5x-6=0$

$x=\frac{5\pm \sqrt{25+144}}{12}$

$x_1=-2/3,\ x_2=3/2$

$6x^2-5x-6=(3x+2)(2x-3)$

$(3x+2)(2x-3)<0$

$x\isin (-2/3,3/2)$