Welcome to your Algebra II(Senior Class Math Study by Topics ) NAME EMAIL PHONE NUMBER 1. Find the roots of x³ + 2x² - 5x + 6 = 0-1, 3-1, -3, 21, -2, -31, 3, 22. 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-21-123. Subtract the polynomials: (- 7 x2y + xy + 3x + 2) - (5 x2y - 5 xy - 6x - 7)-12x²y+6xy+9x+9-2x²y-4xy-2x-512x²y+6xy+9x+9-12x²y-6xy-9x-94. Use Bionomial Theorem to find the first three terms in the expansion of (1 + x)1545 + 46x² +342x³3x+ 536x³2 + 45x + 735x²1 + 15x + 105x²5. Factorize : 9 - (a² - 3a -1)²-(a-1)(a+1)a-a(a-4)(a+1)(a-1)(a-2)(a-4)(a-2)(a-1)(a+1)(a-1)(a+1)a+26. Given that (1 + 3x)4 = 1 + Px + Qx² ...find 3P + 2Q.1441224727. Given that (1 + 5x)4 = 1 + Px + Qx² + Rx³ + ...find the value of P - 2Q + 3R2202012012208. Factorize the polynomial x 3 - 1(x-1)²2x+1x-1(x - 1)(x² + x + 1)9. Find the third term in the expansion of (1-2x)1020x180x²12123x²10. Simplify1+y/ y1/y1/ 1-y1-y/ y11. Factorize completely 3x3 + 4x2 – 13x + 6 completely, given that x-1 is a factor2x-5(x+2)(3x-1)3x+1(x-1)(x+3)(3x-2)12. Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when divided by 2x + 1-1010-5413. Find the term independent of x in (x + 3/x)8576056567056714. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)²4x-6y2x+3y4x+6y2x-3y15. Add the polynomials: (xy + 3x + 2) + (3x2 + y)3x²+5xy+23x²+4xy+23x²+2xy+3x+23x²+xy+3x+y+216. Iffind the value of P-Q542717. 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. Find the remainder when4x³ + 5x² - 11x + 10 is divided by x+21819202119. Using the binomial theorem in the expansion of (x + 3/x)4, find the term which is independent of x.7454646620. Find the coefficient of a17b3 in the expansion (a+b)203455701120114021. Find the remainder when 3x³ + 5x² - 11x + 4 is divisible by x + 3-112022. Find the fourth term in the expansion of (1+x)15131455x³ 13x³ 23. 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.-15, -72, 38, -85, 724. If (1 + 4x)5 = 1 + Ax + Bx² + Cx³... find the values of the constants, A, B and C, respectively300, 45, 6363, 783, 36320, 160, 640245, 647, 6325. Simplify2/53/52x-y126 out of 25
