1-25 all please help! I need help with understanding it.

SECTION 2.4 Exercises In Exercises 1-6, divide f(x) by d(x), and write a summary statement In Exercises 19-24, use the Factor Theorem to determine whether the in polynomial form and fraction form. first polynomial is a factor of the second polynomial. 1. f ( x ) = x2 - 2x + 3:d(x) = x -1 19. * - 1:13-x+x-1 2. f ( x ) = x' - 1; d (x ) = x + 1 20. x - 3:13 -12-x-15 3. f (x ) = x'+ 4x2 + 7x - 9:1(x) =x+3 21. x - 2;13 + 3x - 4 4. f ( x ) = 4x3 - 8x2 + 2x - 1; d(x) = 2x+ 1 22. x - 2;13 - 3x - 2 5. f ( x ) = x4 - 2x3 + 3x- - 4x + 6;d(x) = 12+ 2x -1 23. x + 2; 4x3 + 9.x2 - 3.x - 10 6. f (x) = x4 - 3x3 + 612 - 3x + 5;1(x) = 12+1 24. * + 1:210 - x" + x8 + x7+ 2x6 - 3 In Exercises 7-12, divide using synthetic division, and write a sum- In Exercises 25 and 26, use the graph to guess possible linear factor mary statement in fraction form. f(x). Then completely factor f(x) with the aid of synthetic division x - 5x- + 3x - 2 25. f(x) = 5x3 - 7.x2 - 49x + 51 7. *+ 1 8 2x* - 5x3 + 7x2 - 3x + 1 x- 3 9x" + 7.x2 - 3.x * - 10 10 3x# + x3 - 4x2 + 9x - 3 x + 5 11 5x* - 3x + 1 4 - X [-5, 5] by [-75, 100] 12 . -1 26. f(x) = 5x3 - 12.x2 - 23.x + 42 * + 2 In Exercises 13-18, use the Remainder Theorem to find the remainder when f(x) is divided by x - k. 13 . f ( x ) = 2x2 - 3x + 1;k = 2 14 . f ( x ) = *4 - 5;k = 1 15. f (x ) = x3 - x2 + 2x - 1;k=-3 16. f (x ) = x3 - 3x + 4;k = -2 the 17. f ( x ) = 2x 3 - 3x 2 + 4x - 7;k = 2 [-5, 5] by [-75, 75] To 18. f (x) = 15 - 2x4 + 3.x2 - 20x + 3;k=-1