Polynomials and Polynomial Functions – Precalculus
Solve the equations.
1. Solve x3 13x 2 40x  0 .
2. Solve x2  3x  10 .
3. Solve  x  1 x  8  3x .
4. Solve x  7 x  8  15 .
Divide the polynomials.
5.  x2  9 x  18   x  3
6.  3b2  2b  6   b  2
7. When 4 x2  25x is divided by 4 x  1 , what is the remainder?
8. When 2 x2  3x  7 is divided by 2 x  1 , what is the remainder?
Solve the equations using quadratic formula.
9. Use quadratic formula to solve 6m2  2m  5 .
10. Use quadratic formula to solve  n  1  2n .
2
Solve the inequalities.
11. Solve the inequality  x  3 x  1  0 .
12. Solve x2  3x  4  0 .
13. Solve x2  48  14 x .
Graph the functions.
14. Graph f ( x) 
5 2
x .
3
15. Graph f ( x)   x  8  2 .
2
16. Graph f ( x)  5  x  5  9 .
2
Answer key
1. x  0, 5, 8
2. x  5,  2
3. x  4,  2
4. x  1,
15
7
5. x  6
6. 3b  8 
10
b2
7. 6
8. 9
9. m 
1  31 1  31
,
6
6
10. n  2  3,  2  3
11.  , 3   1,  
12.  1, 4 
13.  6,8
14.
15.
16.