Welcome to your Algebra II(Senior Class Math Study by Topics ) NAME EMAIL PHONE NUMBER 1. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)² 4x+6y 2x-3y 2x+3y 4x-6y2. Resolve into partial fractions 1/(x+2) - 2/(4-x) 1/(x+2) - 3/(2-x) 7/(x+3) - 4/(x+2) 2/(x-3) + 2/(2-x)3. Using the binomial theorem in the expansion of (x + 3/x)4, find the term which is independent of x. 66 74 64 544. Find the remainder when 12x4-9x2-2x-1 is divided by 2x+1 0 1/x x-1 1+x5. Find the remainder when 3x³ + 5x² - 11x + 4 is divisible by x + 3 2 0 -1 16. Find the coefficient of a17b3 in the expansion (a+b)20 1140 570 345 11207. Resolve into partial fractions. 2/(x-1) + 3/(x+1) + 1/(x+3) 2/(x-1) - 3/(x+1) + 1/(x+3) 2/(x-1) - 3/(x+1) + 2/(x+3) 2/(x-1) - 1/(x+1) + 1/(x+3)8. Find the roots of x³ + 2x² - 5x + 6 = 0 -1, -3, 2 -1, 3 1, 3, 2 1, -2, -39. Use the binomial theorem to expand (1 + 4x)4. Hence, find the value of (1.04)4 correct to 4 decimal places 1 + 16x + 96x² + 256x3 + 256x4; 1.1699 1 + 96x² + 256x3 + 256x4; 1.169 1 + 16x + 96x² + 256x3 + 256x4; 1.1 1 + 16x + 96x² + 256x4; 1.1610. Expand (1-x)³, using binomial theorem. Hence find the value of (0.999)³ correct to five decimal places. 1 - 3x + 3x² - x³, 0.10 1 - 3x + 3x² - x³, 0.99700 1 - 3x + 3x² - x³, 1 1 - 3x + 3x² - x³, 0.99711. Given that (1 + 5x)4 = 1 + Px + Qx² + Rx³ + ...find the value of P - 2Q + 3R 20 1220 220 12012. Add the polynomials: (xy + 3x + 2) + (3x2 + y) 3x²+5xy+2 3x²+xy+3x+y+2 3x²+2xy+3x+2 3x²+4xy+213. Express in partial fractions 5/2(x+1) - 1/(x-1) 1/(x+1) + 4/(3-x) 5/2(x-1) - 1/2(x+1) x/(x+1) + 1/(x-1)14. Use Bionomial Theorem to find the first three terms in the expansion of (1 - x/2)12 7x - 536x² 2-7x+ 13x² 1 - 6x +16.5x² 4x - 89x15. Subtract the polynomials: (xy + 3x + 2) - (3x2 + y) -3x²+3x-y+2 -3x²+xy+3x-y+2 3x²+4xy+2 3x²+4xy+216. The polynomial f(x) = 3 x 4 + 5 x 3 - 17 x 2 - 25 x + 10 has irrational zeros at + √(5) and - √(5). Find the other zeros 1, 4 2, 2/3 2/3, 1/2 -2, 1/317. If (x-1) and (x+1) are both factors of the equation x³ +px +qx + 6 = , evaluate p and q, respectively 3, -4 -1, 4 1, -3 -6, -118. If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k 5 6 4 319. Factorize the polynomial x 2 + 5x + 6 (x + 2)(8) (x + 2)(x + 6) (x + 2)(x + 3) (x + 5)(x + 3)20. When the polynomial x³ + mx² + 4x + 2 is divided by x + 2.What is the value of m? 3 4 2 521. Given that ax4 – 2x3 + cx2 – 6x – 9 = 0. When x = -1 or 3, calculate the values a and c, respectively. 1, 0 1, 2 2, -1 0, -122. If x4-kx3 + 10x² + lx - 3 is divisible by (x-1) and if when it is divided by (x+2) the remainder is 27, find the constants k and l, respectively. 5, 7 2, 3 -15, -7 8, -823. Multiply (x + 3y + 5) by (2x² + 5y + 2) 2x³+6yx²+5xy+15y x²+31y+18x+2x+9 2x²+6y²x+4xy+12x²+31y+18x+2x+9 2x³+6yx²+5xy+15y²+31y+10x²+2x+1024. Find the term independent of x in (x + 3/x)8 5760 5670 56 56725. Add the polynomials: (-x2 + 5 x + 2) + (6 x2 + x) 7x²+6x+2 5x² 5x²+6x 5x²+6x+226 out of 25
