Welcome to your Algebra II(Senior Class Math Study by Topics ) NAME EMAIL PHONE NUMBER 1. Use the binomial theorem to expand (1 + 4x)4. Hence, find the value of (1.04)4 correct to 4 decimal places1 + 16x + 96x² + 256x3 + 256x4; 1.11 + 16x + 96x² + 256x3 + 256x4; 1.16991 + 16x + 96x² + 256x4; 1.161 + 96x² + 256x3 + 256x4; 1.1692. Find the third term in the binomial expansion of (2-a)1045332a²45332a11520a²11520a3. If the function f(x) = x³ + 2x² +qx - 6 is divisible by x + 1, find q1-55-24. Find the remainder when4x³+ 5x²- 4x+ 20 is divided by x+4-140014015. Add the polynomials: (x2y + 3x + 2) + (2 + 2 xy2 + 3x)x²y+2xy²+6x+43xy²+6x+43x²y+6x+43x²y²+6x+46. When the polynomial x³ + mx² + 4x + 2 is divided by x + 2.What is the value of m?52347. Iffind P+ Q41/18751/19224/36261/6788. Use Bionomial Theorem to find the first three terms in the expansion of (1 + x)151 + 15x + 105x²2 + 45x + 735x²45 + 46x² +342x³3x+ 536x³9. Find the value of M if 5/3-2/32/3-5/310. Splitinto partial fractions(x + 9) - (9/2x)x + (9/2x) + 75/2(x-2)(x + 9) - (9/2x) + 75/2(x-2)x + 911. Find the binomial expansion of (0.7)55.85890.16807108.6745.07512. 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.2, 35, 7-15, -78, -813. Find the third term in the expansion of (1-2x)10123x²180x²1220x14. Find the roots of x³ + 2x² - 5x + 6 = 01, 3, 2-1, 31, -2, -3-1, -3, 215. Use the binomial theorem to expand (1 + 2x)5 in ascending powers of x. Hence find the value of (1.02)5 correct to 4 decimal places.1 + 10x + 40x² + 80x3 + 90x4 + 32x5, 1.101 + 10x + 40x² + 80x3 + 80x4 + 32x5, 1.10411 + 10x + 40x² + 80x4 + 32x5, 1.11 + 80x3 + 80x4 + 32x5, 1.104116. Express in partial fractions.4/(x+1) + 3/(x+3)7/(x+2) - 2/(x-2)2/(x+1) + 3/(x-2) + 2/(x+2)4/(3x+2) + 3/(x+1) + 1/(x+3)17. Resolve into partial fractions.2/(x-1) - 3/(x+1) + 2/(x+3)2/(x-1) + 3/(x+1) + 1/(x+3)2/(x-1) - 1/(x+1) + 1/(x+3)2/(x-1) - 3/(x+1) + 1/(x+3)18. When the expression pm² + qm + 1 is divided by m- 1, it has a remainder of 2 and when divided by m + 1 it has a remainder of 4. Find pq-121-219. If, the value of P is31-1220. If (x-3) and (x+5) are factors of the expression x³ + mx² - nx - 45, what is the product of m and n5545356721. Use Bionomial Theorem to find the first three terms in the expansion of (1 - x/2)124x - 89x2-7x+ 13x²7x - 536x²1 - 6x +16.5x²22. Express in partial fractions5/2(x-1) - 1/2(x+1)x/(x+1) + 1/(x-1)5/2(x+1) - 1/(x-1)1/(x+1) + 4/(3-x)23. The graph of the polynomial y = a x 4 + b x 3 + c x 2 + d x + e is shown below. Find the coefficients a, b, c, d and e. a = -18, b =4, c = 14, d = 0, e = -2a = -1 / 7, b = 1, c = 1, d = 0, e = -4a = -1 / 8, b = 0, c = 1, d = 0, e = -2a = 8, b = 0, c = 1, d = 10, e = 224. Iffind the values of the constants P and QP = 3, Q = 1P = 3, Q = 2P = 1, Q = 2P = 2, Q = 225. Find the coefficient of x³ in the binomial expansion of (2-5x)712000-30000-700005000026 out of 25
