How do you determine p(c) given p(x)=6x^4-x^2+2 and c=-2/3?

1 Answer
Jim G.
Jun 3, 2017

p(-2/3)=74/27

Explanation:

" find p(c) by substituting x = c into p(x)"

rArrp(c)=6c^4-c^2+2

"find " p(-2/3)" by substituting " c=-2/3" into p(c)"

rArrp(color(red)(-2/3))=6(color(red)(-2/3))^4-(color(red)(-2/3))^2+2

color(white)(xxxxxxxx)=6xx16/81-4/9+2

color(white)(xxxxxxxx)=96/81-36/81+162/81

color(white)(xxxxxxxx)=222/81=74/27

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