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1. Find the value of the polynomial 5x3 - 3x2 - 7x + 11 at
(1) x=0 (11) x=1
x=1 (iii) x = -1
(iv) x2
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Answer:
p(x) = 5x^3-3x^2-7x+11
i) p(0) = 5(0)^3-3(0)^2-7(0)+11
= 0-0-0+11
= +11
ii) p(1) = 5(1)^3-3(1)^2-7(1)+11
= 5-3-7+11
= 16-10
= 6
iii) p(-1) = 5(-1)^3-3(-1)^2-7(-1)+11
= -5-3+7+11
= -8+18
= +10
iv) p(2) = 5(2)^3-3(2)^2-7(2)+11
= 5(8)-3(4)-14+11
= 40-10-14+11
= 50-24
= 26
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