if 8x⁴ - 8x²+7 is divided by 2x+1 the remainder is
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Step-by-step explanation:
According to the Remainder Theorem, if a polynomial f(x) is divided by ( x - a), then f(a) will be the remainder.
f(x) = 8x⁴ + 8x^7 + 7 and a = -1/2
f(-1/2) = 8(-1/2)⁴ + 8(-1/2)^7 + 7
= 8 x (1/16) - 8 x (1/128) + 7
= 1/2 - 1/16 + 7 = (8 - 1 + 112)/16 = 119/16
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