Let f_1 = -3 + 2x + 2x^2, f_2 = 5 + x^2, f_3 = -20 + 8x + 7x^2 and f_4 = 3. give the definition of span{f_1, f_2}. use definition to show that h = span{f_1, f_2} is a subspace of p_2(x). find a basis of h. is f_3 in h? find a basis of p_2(x) containing {f_1, f_2}. is {f_1, f_2, f_3, f_4} a basis of p_2(x)? give a brief explanation for your answer. let b = {f_1, f_2, f_3}. find [f_4]b. let c = {f_4, f_5 = 3f_1 + 2f_2, f_6 = 2f_1 - 3f_2}. find p_c leftarrow b.

y=mx+b

step-by-step explanation:

m slope, b y-intercept

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )