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If polynomial P(x) = x³ - 3x² + 5x-3 is divided by polynomial G (x) = x² - 2, the quotient and remainder are:

If x = 99, then the value of x⁵ - 100x⁴ + 100x³ - 100x² + 100x - 1 is

If x = 15

find x ⁵ - 16 x ⁴ + 16 x ³ - 16 x ² + 16 x  - 16 = ?

If x⁴ + x³ + x² + x + 1 = 0, then find the value of x¹⁵²⁵ + x⁷²⁰ + 14 + x³²⁰ =?

when x =4 and y =-6 then find the value of 27x³ +58x²y +31xy² +8y³?

If n = 6 + √13, then find the value of (n + 1/n)².

If (7x + 5y) = 206 and 3x:2y = 27:16, then find the value of (x² + 2y²).

Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm²) of the rhombus?

if x² – 2x + 1 = 0, then find the value of (x⁷ + x⁵ + x⁴ + x²)/x ?