7. p(x) = 2x* + x - 8x² - x +6,8(x) = 2x - 3
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Step-by-step explanation:
x2−2x−3=(x−3)(x+1),
By the factor theorem,
k(−1)3−8(−1)2+p(−1)+6=0
−k−p=2…(1)
k(3)3−8(3)2+p(3)+6=0
27k+3p=66
i.e.9k+p=22…(2)
(1) + (2) gives k=3 and
−3−p=2 implies that p=−5.
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