02/04/2020 Algebra II(Senior Class Math Study by Topics ) 02/04/2020 0Comments by Gate Academy Welcome to your Algebra II(Senior Class Math Study by Topics ) NAME EMAIL PHONE NUMBER 1. Find the second term in the expansion of (2+3x)12 4096 73728x 22x² 334 2. Factorize the polynomial x 3 - x 2 - 25x + 25 (x - 1)(x + 5)(x - 5) x²-1(x-5) (x-5)² (x - 1)(x + 5)² 3. If x= 2 is a root of the equation 2x³-2x²-5x+2 find the other roots 0.366 1.7433 3.446 0.566 4. Which of the following polynomials has (a+b) as a factor? a³-b³ 2a³+2a²b-ab+3a-b²+3b a²+b² 2a²-3ab+b²-a+1 5. Simplify 2(9+y) 81-y² -2(y-9) 2(y-9) 6. Find the binomial expansion of (3.2)4 145.34 123.45 104.86 293.42 7. Find the third term in the binomial expansion of (2-a)10 45332a² 45332a 11520a 11520a² 8. Find the remainder when4x³ + 5x² - 11x + 10 is divided by x+2 21 19 20 18 9. Your new question! 10. Multiply x² + x + 1 by x² - x + 1 x4 + x² + 1 x4 -1 x3 + x- 1 x4 - x² + 1 11. Express in partial fractions x/(x+1) + 1/(x-1) 5/2(x+1) - 1/(x-1) 5/2(x-1) - 1/2(x+1) 1/(x+1) + 4/(3-x) 12. Add the polynomials: (-x2 + 5 x + 2) + (6 x2 + x) 5x² 5x²+6x 5x²+6x+2 7x²+6x+2 13. Given that (1 + 3x)10 = 1 + Px +Qx² + Rx³...find the values of the integers P, Q and R, respectively. 30, 405, 3240 98, 755, 8689 6, 54, 4754 409, 67, 675 14. Splitinto partial fractions (x + 9) - (9/2x) + 75/2(x-2) x + (9/2x) + 75/2(x-2) x + 9 (x + 9) - (9/2x) 15. Use Bionomial Theorem to find the first three terms in the expansion of (1 - x/2)12 1 - 6x +16.5x² 4x - 89x 2-7x+ 13x² 7x - 536x² 16. Simplify 1-y/ y 1/y 1/ 1-y 1+y/ y 17. Subtract the polynomials: (9 x - 6) - (- 5x + 7) -4x - 13 -4x + 13 4x + 1 14x - 13 18. Decompose into partial fractions : (5x + 10) / x(x + 5) x/2 + 3/(x+3) 2/x + 3/(x + 5) 3/ (x+5) x/2 19. Find the binomial expansion of (0.7)5 45.075 0.16807 108.67 5.8589 20. Divide 6x² - 13x + 5 by 2x -1 x+7y 2x+5 3x-5 5x-3 21. If (1 + 2x)6 = 1 + Px + Qx² + ...., find the values of the constant P and Q, respectively. 8, 55 10, 50 14, 72 12, 60 22. Find the term independent of x in the expansion of (x²- 2/x)6 140 340 345 240 23. If (1 + 4x)5 = 1 + Ax + Bx² + Cx³... find the values of the constants, A, B and C, respectively 245, 647, 63 300, 45, 63 20, 160, 640 63, 783, 363 24. Express in partial fractions. 5/(x-3) + 3/(x+4) 2/(x-4) + 3/(x-6) 4/(x+3) + 2/(x+1) 1/(x+3) + 4/(x-4) 25. Multiply (x + 3y + 5) by (2x² + 5y + 2) 2x²+6y²x+4xy+12x²+31y+18x+2x+9 2x³+6yx²+5xy+15y²+31y+10x²+2x+10 2x³+6yx²+5xy+15y x²+31y+18x+2x+9 1 out of 25