8. p(r) = 2r cube + r square- 15r - 12, g(r) = x + 2.
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Step-by-step explanation:
p(r) = 2r^3 + r^2 - 15r - 12
g(r) = x + 2
Using Remainder theorem,
x + 2 = 0
x = -2
Put r = -2 in p(r).
= 2(-2)^3 + (-2)^2 - 15(-2) -12
= 2(-8) + 4 + 30 - 12
= -16 + 4 + 30 - 12
= -28 + 34
= 6 = Remainder
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