University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2020
Views:

260

Pages:

3
Author:

Clint W.

Chap 16 Review Day 1: (P(x)=22x^9-9x^5+25x^3+16x^2-x) Degree: 9 Lead Coefficient: 22 of Terms: 5 ((x-2)^{-2}(3x^3-2x^2+1)) ((x^2-4x+4)(3x^3-2x^2+1)) (-12x^4+8x^3-4x^2+12x^3-8x^2+4) (3x^5-14x^4+20x^3-7x^2-4x+4) (P(2)=-23) ((2x-1)^4) ((2x)^4+4(2x)^3(-1)+6(2x)^2(-1)^2+4(2x)(-1)^3+(-1)^4) (16x^4-32x^3+24x^2-8x+1) (\frac{x^2-4x+3}{2x-1}) (2x-1)\overline{)x^2-4x+3}) (\frac{-2x^3+x^2}{4}) (\frac{+8x^2+4x}{-8x+10x}) (\frac{-6x+3}{3}) (x^2-2x+3+\frac{3}{2x-1}) (-2) (-48-16+32) (2-4+8-16+31) (\frac{4x^4-3x^3+10x}{2x}) (2x^3-\frac{3}{2}x^2+5) Day 2: (x=-2), (x=5\pm\sqrt{3}) (x+2=0) ((x-5)^2=(-13)^2) (x^2-10x+25=3) (x^2-10x+22=0) (y=(x+2)^2) (y=x^3-10x^2+22x) 2. x=3±i (x-3±i)(x-3∓i)=0 (x-3)²±i²=0 x²-6x+9±1=0 x²-6x+10=0 or x²-6x+8=0 (x-4)(x-2)=0 or (x-5)(x-1)=0 x=4,2 or x=5,1 3. 3 5 -10 -16 (x+2)(3x²-9x-8)=0 x+2=0 or 3x²-9x-8=0 x=-2 or x=9±√141/6 4. f(x)=x(4x^4+5x²-9) =x(4x²+9)(x²-1) =x(x-1)(x+1)(4x²+9)=0 x=0,1,-1,±3i/2 5. f(x)=-3x²(x-10)+5(x-10) =(x-10)(-3x²+5)=0 x=10,±√15/3