math 13...q56 please provide justified solutions as soon as possible to get upvote...

Linear Vector Spaces: Linear Independence, Basis, and Dimension Consider the set S of polynomials given below: 2x*+2x3 -7x2 -5x-6, 3x4+3x3+7x2 -5x-12. 5x4 +5x3-10x-18 , S= x*+x3+14x2-6, 4x* +4x3 -14x2 -10x-6, 7x* +7x3-7x2 -15x-18 . 10x* + 10x' - 20x - 36 5. If possible, express the polynomial p(x) =5x* +4x* + 3x2 + 2x +1 as a linear combination of vectors in your expanded basis from above. 6. Can any polynomial of degree 4 or less be written as a linear combination of vectors in your enlarged basis set