Letf(x)∈f[x] be a polynomial of degree n≥1 and let bars denote passage to the quotient f[x]/(f(

prove that for each g(x) there is a unique polynomial g0(x)of degree≤n−1 such that g(x) =g0(x) (equivalently, the elements1,x, . . ,xn−1are a basis of the vector spacef[x]/(f(x)) overf).

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )

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Y=-3x is the correct answer