Find the value of following polynomial where a = -2 and p(a) = a³ + a² - 10.

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Solution

(i) Given polynomial:
p(a) = a³ + a² - 10

Value of given polynomial when a = -2 and we get:
p(-2) = (-2)³ + (-2)² - 10

Solve exponential forms and we get:
= (-8) + 4 - 10

Solve the above expression and we get:
= (-18) + 4
= (-14)

Hence the value of p(a) = a³ + a² - 10, where a = -2, is (-14).

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