Consider the two polynomials p_1(t) =2 t + 1, p_2(t) = 4t^2 -1. Are the polynomials linearly dependent or linearly independent? Hint: Set x_1 \cdot p_1 + x_2 \cdot p_2 =0 and follow the same procedure as in Example 7 to determine whether the only solution is x_1 = x_2 =0 or whether there are non zero solutions