1. Solve system using substitution method. x+y=6; y=x^2-8x+16
i. (4,2,) i.(2,8),(5,1) iii.(2,4),5,1) iv.(-2,8),(-5,11)
2. By using synthtic division to divide f(x)=x^3+15x^2+71x+105 by x+7. Use results to find all zeros of f.
i.(7,-3,-5) ii. (7,3,5) iii.(-7,-3,-5) iv.(-7,3,5)
3.Use Descartes Rule of Signs to find possible number of positive and negative real zeros for given function.f(x)=6x^8-9x^7+x^6-3x+18
i. 4,2 or 0 positive zeros, no negative zeros ii. 4,2 or 0 positive zero, 1 negative zero
iii. 4 or2 positive zeros, no negative zeros iv. 4 positive zeros, no negative zeros
4. Use synthetic division to illustrate that number given to right of equation is the solution of equation, then solve polynomial equation. x^3-5x^2+2x+8=0;2
i. (-4,-1,2) ii. (-4,1,2) iii. (4,1,2) iv. (4,-1,2)