book Maths Puzzle Numerical Ability

1; let v be the space of all polynomials over a field F of degree less or equal to 3
let D be a diff. operator from v to v
1; find the matrix A of D with respect to the basis {1,,x,x.x,x.x.x} of v .

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book Other Question

find the equation of the parabola with a vertex at (3,16), and passing through (1,-4) A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?