2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?), (2 – 10t – 3t²), (–2t + t²)

Find the remainder when the polynomial x – 6x³ + 2x² + 18 is divided by (x - 2) В. 16 A. 58 С. 10 D. 0 select one: O B O C O A O D 三 口i @ R N XI a - to search

It is possible to write rk as a linear combination of Chebyshev's polynomials, for example + Suppose that 7x* – 6x³ – 2x² +3x – 1 =aT:(x) i=0 What are the values of a2, and az? O 0, 3/4 O 4, -1/2 O 1/2, 3/4 O 5/2, -3/2

Write a polynomial that is best represented by the graph. (-7,0) (-6, 0) 10 | (1.0) y = x – 12x² + 29x + 42 y = x³ + 12x² + 29x – 42 O A) B.) y = x – 14x? + 55x – 42 y = x³ + 14x² + 55x + 42