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Insert three rational numbers between 4 and 5. 2. Find the value of 'x' from the adjacent figure. 3. Find...

1. Insert three rational numbers between 4 and 5.
2. Find the value of 'x' from the adjacent figure.
3. Find the remainder when 2x^3 - 2x^2 - x + 3 is divided by (x + 1).

Answer

  1. Three rational numbers between 4 and 5 could be 4.1, 4.5, and 4.9.

  2. Without the figure, it's not possible to determine the value of 'x'.

  3. Using the Remainder Theorem, substitute x = -1 into the polynomial: 2(-1)^3 - 2(-1)^2 - (-1) + 3 = -2 - 2 + 1 + 3 = 0. The remainder is 0.

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