Question 1086383
{{{P(x)=2x^3+15x^2+24x-16 }}}

{{{P(x)= 2x^3 - x^2+ 16x^2- 8x+32x-16}}}

{{{P(x)= (2x^3 - x^2)+ (16x^2- 8x)+(32x-16)}}}

{{{P(x)=x^2 (2x - 1)+8x (2x- 1)+16(2x-1)}}}

{{{P(x)=(x^2 + 8x+16) (2x - 1)}}}

{{{P(x)=(x + 4)^2 (2x - 1)}}}

solutions:

{{{0=(x + 4)^2}}}=>{{{x=-4}}}
{{{0= (2x - 1)}}}=>{{{2x=1}}}=>{{{x=1/2}}}

zeros are:{{{-4}}},{{{1/2}}}


{{{ graph( 600, 600, -10, 10, -20, 10,(x + 4)^2*(2x - 1)) }}}