How do you determine p(c) given p(x)=4x^2-33x-180 and c=12?

1 Answer
Jim G.
Aug 31, 2016

p(12)=0

Explanation:

To determine p(c), substitute x = c into p(x).

rArr p(color(red)(c))=4(color(red)(c))^2-33(color(red)(c))-180

Thus p(c)=4c^2-33c-180

Similarly to evaluate p(c) when c = 12, substitute c = 12 into p(c)

rArr p(color(red)(12))=4(color(red)(12))^2-33(color(red)(12))-180

Hence p(12)=(4xx144)-(33xx12)-180=0

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