When x⁴-2x²+6 is divided by x-2,the remainder is *f(-2)f(2)f(0)f(¹/₂)
Question
When x⁴-2x²+6 is divided by x-2,the remainder is *f(-2)f(2)f(0)f(¹/₂)
Solution
The question seems to be incomplete. However, if you're asking for the remainder when a polynomial is divided by a binomial, you can use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial f(x) divided by (x-a) is f(a).
So, if you want to find the remainder when x⁴-2x²+6 is divided by x-2, you would substitute 2 into the polynomial:
f(2) = (2)⁴ - 2*(2)² + 6 = 16 - 8 + 6 = 14
So, the remainder when x⁴-2x²+6 is divided by x-2 is 14.
If you want to find the remainder for other values such as -2, 0, or 1/2, you would substitute those values into the polynomial in the same way.
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